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Finding the Third Proportional to 142,042.50 and 306,117

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Solution

The third proportional to 142,042.50 and 306,117 is: 659,715.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,042.50 : 306,117 = 306,117 : x
  2. Step 2: Convert to fraction form
    142,042.50/306,117 = 306,117/x
  3. Step 3: Cross multiply
    142,042.50x = 306,117 × 306,117
  4. Step 4: Simplify right side
    142,042.50x = 93,707,617,689
  5. Step 5: Solve for x
    x = 93,707,617,689/142,042.50
  6. Step 6: Final answer
    x = 659,715.35

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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.