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Finding the Third Proportional to 478,624 and 708,478

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Solution

The third proportional to 478,624 and 708,478 is: 1,048,716.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,624 : 708,478 = 708,478 : x
  2. Step 2: Convert to fraction form
    478,624/708,478 = 708,478/x
  3. Step 3: Cross multiply
    478,624x = 708,478 × 708,478
  4. Step 4: Simplify right side
    478,624x = 501,941,076,484
  5. Step 5: Solve for x
    x = 501,941,076,484/478,624
  6. Step 6: Final answer
    x = 1,048,716.90

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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.