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Finding the Third Proportional to 454,496 and 711,408

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Solution

The third proportional to 454,496 and 711,408 is: 1,113,544.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,496 : 711,408 = 711,408 : x
  2. Step 2: Convert to fraction form
    454,496/711,408 = 711,408/x
  3. Step 3: Cross multiply
    454,496x = 711,408 × 711,408
  4. Step 4: Simplify right side
    454,496x = 506,101,342,464
  5. Step 5: Solve for x
    x = 506,101,342,464/454,496
  6. Step 6: Final answer
    x = 1,113,544.11

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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.