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Finding the Third Proportional to 155,574 and 240,231

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Solution

The third proportional to 155,574 and 240,231 is: 370,954.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,574 : 240,231 = 240,231 : x
  2. Step 2: Convert to fraction form
    155,574/240,231 = 240,231/x
  3. Step 3: Cross multiply
    155,574x = 240,231 × 240,231
  4. Step 4: Simplify right side
    155,574x = 57,710,933,361
  5. Step 5: Solve for x
    x = 57,710,933,361/155,574
  6. Step 6: Final answer
    x = 370,954.87

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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.