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Finding the Third Proportional to 251,488.13 and 380,482.31

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Solution

The third proportional to 251,488.13 and 380,482.31 is: 575,640.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,488.13 : 380,482.31 = 380,482.31 : x
  2. Step 2: Convert to fraction form
    251,488.13/380,482.31 = 380,482.31/x
  3. Step 3: Cross multiply
    251,488.13x = 380,482.31 × 380,482.31
  4. Step 4: Simplify right side
    251,488.13x = 144,766,790,125.35
  5. Step 5: Solve for x
    x = 144,766,790,125.35/251,488.13
  6. Step 6: Final answer
    x = 575,640.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.