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Finding the Third Proportional to 100,458.50 and 155,721.50

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Solution

The third proportional to 100,458.50 and 155,721.50 is: 241,385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,458.50 : 155,721.50 = 155,721.50 : x
  2. Step 2: Convert to fraction form
    100,458.50/155,721.50 = 155,721.50/x
  3. Step 3: Cross multiply
    100,458.50x = 155,721.50 × 155,721.50
  4. Step 4: Simplify right side
    100,458.50x = 24,249,185,562.25
  5. Step 5: Solve for x
    x = 24,249,185,562.25/100,458.50
  6. Step 6: Final answer
    x = 241,385.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.