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Finding the Third Proportional to 155,439 and 240,031

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Solution

The third proportional to 155,439 and 240,031 is: 370,659.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,439 : 240,031 = 240,031 : x
  2. Step 2: Convert to fraction form
    155,439/240,031 = 240,031/x
  3. Step 3: Cross multiply
    155,439x = 240,031 × 240,031
  4. Step 4: Simplify right side
    155,439x = 57,614,880,961
  5. Step 5: Solve for x
    x = 57,614,880,961/155,439
  6. Step 6: Final answer
    x = 370,659.11

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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.