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Finding the Third Proportional to 142,813.50 and 313,657.50

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Solution

The third proportional to 142,813.50 and 313,657.50 is: 688,877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,813.50 : 313,657.50 = 313,657.50 : x
  2. Step 2: Convert to fraction form
    142,813.50/313,657.50 = 313,657.50/x
  3. Step 3: Cross multiply
    142,813.50x = 313,657.50 × 313,657.50
  4. Step 4: Simplify right side
    142,813.50x = 98,381,027,306.25
  5. Step 5: Solve for x
    x = 98,381,027,306.25/142,813.50
  6. Step 6: Final answer
    x = 688,877.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.