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Finding the Third Proportional to 456,366 and 709,440

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Solution

The third proportional to 456,366 and 709,440 is: 1,102,854.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,366 : 709,440 = 709,440 : x
  2. Step 2: Convert to fraction form
    456,366/709,440 = 709,440/x
  3. Step 3: Cross multiply
    456,366x = 709,440 × 709,440
  4. Step 4: Simplify right side
    456,366x = 503,305,113,600
  5. Step 5: Solve for x
    x = 503,305,113,600/456,366
  6. Step 6: Final answer
    x = 1,102,854.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.