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Finding the Third Proportional to 420,480 and 635,746

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Solution

The third proportional to 420,480 and 635,746 is: 961,218.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,480 : 635,746 = 635,746 : x
  2. Step 2: Convert to fraction form
    420,480/635,746 = 635,746/x
  3. Step 3: Cross multiply
    420,480x = 635,746 × 635,746
  4. Step 4: Simplify right side
    420,480x = 404,172,976,516
  5. Step 5: Solve for x
    x = 404,172,976,516/420,480
  6. Step 6: Final answer
    x = 961,218.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.