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Finding the Third Proportional to 142,572.75 and 306,205.50

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Solution

The third proportional to 142,572.75 and 306,205.50 is: 657,641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,572.75 : 306,205.50 = 306,205.50 : x
  2. Step 2: Convert to fraction form
    142,572.75/306,205.50 = 306,205.50/x
  3. Step 3: Cross multiply
    142,572.75x = 306,205.50 × 306,205.50
  4. Step 4: Simplify right side
    142,572.75x = 93,761,808,230.25
  5. Step 5: Solve for x
    x = 93,761,808,230.25/142,572.75
  6. Step 6: Final answer
    x = 657,641.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.