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Finding the Third Proportional to 142,117.31 and 308,137.13

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Solution

The third proportional to 142,117.31 and 308,137.13 is: 668,099.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,117.31 : 308,137.13 = 308,137.13 : x
  2. Step 2: Convert to fraction form
    142,117.31/308,137.13 = 308,137.13/x
  3. Step 3: Cross multiply
    142,117.31x = 308,137.13 × 308,137.13
  4. Step 4: Simplify right side
    142,117.31x = 94,948,487,803.27
  5. Step 5: Solve for x
    x = 94,948,487,803.27/142,117.31
  6. Step 6: Final answer
    x = 668,099.38

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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.