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Finding the Third Proportional to 328,235,248,404 and 490,420,664,910

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Solution

The third proportional to 328,235,248,404 and 490,420,664,910 is: 732,744,060,061.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,235,248,404 : 490,420,664,910 = 490,420,664,910 : x
  2. Step 2: Convert to fraction form
    328,235,248,404/490,420,664,910 = 490,420,664,910/x
  3. Step 3: Cross multiply
    328,235,248,404x = 490,420,664,910 × 490,420,664,910
  4. Step 4: Simplify right side
    328,235,248,404x = 240,512,428,570,766,494,138,368
  5. Step 5: Solve for x
    x = 240,512,428,570,766,494,138,368/328,235,248,404
  6. Step 6: Final answer
    x = 732,744,060,061.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.