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Finding the Third Proportional to 454,498 and 711,411

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Solution

The third proportional to 454,498 and 711,411 is: 1,113,548.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,498 : 711,411 = 711,411 : x
  2. Step 2: Convert to fraction form
    454,498/711,411 = 711,411/x
  3. Step 3: Cross multiply
    454,498x = 711,411 × 711,411
  4. Step 4: Simplify right side
    454,498x = 506,105,610,921
  5. Step 5: Solve for x
    x = 506,105,610,921/454,498
  6. Step 6: Final answer
    x = 1,113,548.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.