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Finding the Third Proportional to 489,007.13 and 778,116.38

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Solution

The third proportional to 489,007.13 and 778,116.38 is: 1,238,151.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,007.13 : 778,116.38 = 778,116.38 : x
  2. Step 2: Convert to fraction form
    489,007.13/778,116.38 = 778,116.38/x
  3. Step 3: Cross multiply
    489,007.13x = 778,116.38 × 778,116.38
  4. Step 4: Simplify right side
    489,007.13x = 605,465,093,043.14
  5. Step 5: Solve for x
    x = 605,465,093,043.14/489,007.13
  6. Step 6: Final answer
    x = 1,238,151.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.