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Finding the Third Proportional to 155,607.75 and 240,319.50

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Solution

The third proportional to 155,607.75 and 240,319.50 is: 371,147.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,607.75 : 240,319.50 = 240,319.50 : x
  2. Step 2: Convert to fraction form
    155,607.75/240,319.50 = 240,319.50/x
  3. Step 3: Cross multiply
    155,607.75x = 240,319.50 × 240,319.50
  4. Step 4: Simplify right side
    155,607.75x = 57,753,462,080.25
  5. Step 5: Solve for x
    x = 57,753,462,080.25/155,607.75
  6. Step 6: Final answer
    x = 371,147.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.