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Finding the Third Proportional to 195,681 and 287,781

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Solution

The third proportional to 195,681 and 287,781 is: 423,229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,681 : 287,781 = 287,781 : x
  2. Step 2: Convert to fraction form
    195,681/287,781 = 287,781/x
  3. Step 3: Cross multiply
    195,681x = 287,781 × 287,781
  4. Step 4: Simplify right side
    195,681x = 82,817,903,961
  5. Step 5: Solve for x
    x = 82,817,903,961/195,681
  6. Step 6: Final answer
    x = 423,229.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.