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Finding the Third Proportional to 142,006.50 and 306,156.38

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Solution

The third proportional to 142,006.50 and 306,156.38 is: 660,052.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,006.50 : 306,156.38 = 306,156.38 : x
  2. Step 2: Convert to fraction form
    142,006.50/306,156.38 = 306,156.38/x
  3. Step 3: Cross multiply
    142,006.50x = 306,156.38 × 306,156.38
  4. Step 4: Simplify right side
    142,006.50x = 93,731,725,953.14
  5. Step 5: Solve for x
    x = 93,731,725,953.14/142,006.50
  6. Step 6: Final answer
    x = 660,052.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.