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Finding the Third Proportional to 487,308.66 and 749,992.92

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Solution

The third proportional to 487,308.66 and 749,992.92 is: 1,154,277.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,308.66 : 749,992.92 = 749,992.92 : x
  2. Step 2: Convert to fraction form
    487,308.66/749,992.92 = 749,992.92/x
  3. Step 3: Cross multiply
    487,308.66x = 749,992.92 × 749,992.92
  4. Step 4: Simplify right side
    487,308.66x = 562,489,382,862.60
  5. Step 5: Solve for x
    x = 562,489,382,862.60/487,308.66
  6. Step 6: Final answer
    x = 1,154,277.43

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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.