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Finding the Third Proportional to 316,781.25 and 689,330.25

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Solution

The third proportional to 316,781.25 and 689,330.25 is: 1,500,013.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,781.25 : 689,330.25 = 689,330.25 : x
  2. Step 2: Convert to fraction form
    316,781.25/689,330.25 = 689,330.25/x
  3. Step 3: Cross multiply
    316,781.25x = 689,330.25 × 689,330.25
  4. Step 4: Simplify right side
    316,781.25x = 475,176,193,565.06
  5. Step 5: Solve for x
    x = 475,176,193,565.06/316,781.25
  6. Step 6: Final answer
    x = 1,500,013.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.