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Finding the Third Proportional to 145,516,319 and 218,221,045

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Solution

The third proportional to 145,516,319 and 218,221,045 is: 327,251,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,516,319 : 218,221,045 = 218,221,045 : x
  2. Step 2: Convert to fraction form
    145,516,319/218,221,045 = 218,221,045/x
  3. Step 3: Cross multiply
    145,516,319x = 218,221,045 × 218,221,045
  4. Step 4: Simplify right side
    145,516,319x = 47,620,424,480,892,024
  5. Step 5: Solve for x
    x = 47,620,424,480,892,024/145,516,319
  6. Step 6: Final answer
    x = 327,251,436.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.