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Finding the Third Proportional to 300,707,912 and 478,490,374

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Solution

The third proportional to 300,707,912 and 478,490,374 is: 761,380,159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,707,912 : 478,490,374 = 478,490,374 : x
  2. Step 2: Convert to fraction form
    300,707,912/478,490,374 = 478,490,374/x
  3. Step 3: Cross multiply
    300,707,912x = 478,490,374 × 478,490,374
  4. Step 4: Simplify right side
    300,707,912x = 228,953,038,010,659,872
  5. Step 5: Solve for x
    x = 228,953,038,010,659,872/300,707,912
  6. Step 6: Final answer
    x = 761,380,159.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.