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Finding the Third Proportional to 442,951.03 and 687,186.28

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Solution

The third proportional to 442,951.03 and 687,186.28 is: 1,066,088.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,951.03 : 687,186.28 = 687,186.28 : x
  2. Step 2: Convert to fraction form
    442,951.03/687,186.28 = 687,186.28/x
  3. Step 3: Cross multiply
    442,951.03x = 687,186.28 × 687,186.28
  4. Step 4: Simplify right side
    442,951.03x = 472,224,985,138.20
  5. Step 5: Solve for x
    x = 472,224,985,138.20/442,951.03
  6. Step 6: Final answer
    x = 1,066,088.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.