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Finding the Third Proportional to 861,432 and 1,283,732

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Solution

The third proportional to 861,432 and 1,283,732 is: 1,913,056.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,432 : 1,283,732 = 1,283,732 : x
  2. Step 2: Convert to fraction form
    861,432/1,283,732 = 1,283,732/x
  3. Step 3: Cross multiply
    861,432x = 1,283,732 × 1,283,732
  4. Step 4: Simplify right side
    861,432x = 1,647,967,847,824
  5. Step 5: Solve for x
    x = 1,647,967,847,824/861,432
  6. Step 6: Final answer
    x = 1,913,056.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.