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Finding the Third Proportional to 124,488 and 189,612

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Solution

The third proportional to 124,488 and 189,612 is: 288,804.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,488 : 189,612 = 189,612 : x
  2. Step 2: Convert to fraction form
    124,488/189,612 = 189,612/x
  3. Step 3: Cross multiply
    124,488x = 189,612 × 189,612
  4. Step 4: Simplify right side
    124,488x = 35,952,710,544
  5. Step 5: Solve for x
    x = 35,952,710,544/124,488
  6. Step 6: Final answer
    x = 288,804.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.