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Finding the Third Proportional to 814,432 and 1,242,708

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Solution

The third proportional to 814,432 and 1,242,708 is: 1,896,196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,432 : 1,242,708 = 1,242,708 : x
  2. Step 2: Convert to fraction form
    814,432/1,242,708 = 1,242,708/x
  3. Step 3: Cross multiply
    814,432x = 1,242,708 × 1,242,708
  4. Step 4: Simplify right side
    814,432x = 1,544,323,173,264
  5. Step 5: Solve for x
    x = 1,544,323,173,264/814,432
  6. Step 6: Final answer
    x = 1,896,196.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.