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Finding the Third Proportional to 478,639.13 and 708,507

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Solution

The third proportional to 478,639.13 and 708,507 is: 1,048,769.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,639.13 : 708,507 = 708,507 : x
  2. Step 2: Convert to fraction form
    478,639.13/708,507 = 708,507/x
  3. Step 3: Cross multiply
    478,639.13x = 708,507 × 708,507
  4. Step 4: Simplify right side
    478,639.13x = 501,982,169,049
  5. Step 5: Solve for x
    x = 501,982,169,049/478,639.13
  6. Step 6: Final answer
    x = 1,048,769.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.