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Finding the Third Proportional to 282,979.13 and 428,114.25

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Solution

The third proportional to 282,979.13 and 428,114.25 is: 647,686.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,979.13 : 428,114.25 = 428,114.25 : x
  2. Step 2: Convert to fraction form
    282,979.13/428,114.25 = 428,114.25/x
  3. Step 3: Cross multiply
    282,979.13x = 428,114.25 × 428,114.25
  4. Step 4: Simplify right side
    282,979.13x = 183,281,811,053.06
  5. Step 5: Solve for x
    x = 183,281,811,053.06/282,979.13
  6. Step 6: Final answer
    x = 647,686.68

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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.