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Finding the Third Proportional to 419,374,169 and 625,424,489

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Solution

The third proportional to 419,374,169 and 625,424,489 is: 932,713,124.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,374,169 : 625,424,489 = 625,424,489 : x
  2. Step 2: Convert to fraction form
    419,374,169/625,424,489 = 625,424,489/x
  3. Step 3: Cross multiply
    419,374,169x = 625,424,489 × 625,424,489
  4. Step 4: Simplify right side
    419,374,169x = 391,155,791,440,911,104
  5. Step 5: Solve for x
    x = 391,155,791,440,911,104/419,374,169
  6. Step 6: Final answer
    x = 932,713,124.35

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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.