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Finding the Third Proportional to 478,663 and 708,533

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Solution

The third proportional to 478,663 and 708,533 is: 1,048,794.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,663 : 708,533 = 708,533 : x
  2. Step 2: Convert to fraction form
    478,663/708,533 = 708,533/x
  3. Step 3: Cross multiply
    478,663x = 708,533 × 708,533
  4. Step 4: Simplify right side
    478,663x = 502,019,012,089
  5. Step 5: Solve for x
    x = 502,019,012,089/478,663
  6. Step 6: Final answer
    x = 1,048,794.27

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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.