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Finding the Third Proportional to 487,267.25 and 749,919

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Solution

The third proportional to 487,267.25 and 749,919 is: 1,154,147.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,267.25 : 749,919 = 749,919 : x
  2. Step 2: Convert to fraction form
    487,267.25/749,919 = 749,919/x
  3. Step 3: Cross multiply
    487,267.25x = 749,919 × 749,919
  4. Step 4: Simplify right side
    487,267.25x = 562,378,506,561
  5. Step 5: Solve for x
    x = 562,378,506,561/487,267.25
  6. Step 6: Final answer
    x = 1,154,147.97

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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.