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Finding the Third Proportional to 142,060 and 315,649

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Solution

The third proportional to 142,060 and 315,649 is: 701,353.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,060 : 315,649 = 315,649 : x
  2. Step 2: Convert to fraction form
    142,060/315,649 = 315,649/x
  3. Step 3: Cross multiply
    142,060x = 315,649 × 315,649
  4. Step 4: Simplify right side
    142,060x = 99,634,291,201
  5. Step 5: Solve for x
    x = 99,634,291,201/142,060
  6. Step 6: Final answer
    x = 701,353.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.