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Finding the Third Proportional to 400,416 and 539,334

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Solution

The third proportional to 400,416 and 539,334 is: 726,447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,416 : 539,334 = 539,334 : x
  2. Step 2: Convert to fraction form
    400,416/539,334 = 539,334/x
  3. Step 3: Cross multiply
    400,416x = 539,334 × 539,334
  4. Step 4: Simplify right side
    400,416x = 290,881,163,556
  5. Step 5: Solve for x
    x = 290,881,163,556/400,416
  6. Step 6: Final answer
    x = 726,447.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.