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Finding the Third Proportional to 142,567 and 308,660

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Solution

The third proportional to 142,567 and 308,660 is: 668,254.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,567 : 308,660 = 308,660 : x
  2. Step 2: Convert to fraction form
    142,567/308,660 = 308,660/x
  3. Step 3: Cross multiply
    142,567x = 308,660 × 308,660
  4. Step 4: Simplify right side
    142,567x = 95,270,995,600
  5. Step 5: Solve for x
    x = 95,270,995,600/142,567
  6. Step 6: Final answer
    x = 668,254.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.