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Finding the Third Proportional to 249,085.13 and 386,749.69

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Solution

The third proportional to 249,085.13 and 386,749.69 is: 600,498.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,085.13 : 386,749.69 = 386,749.69 : x
  2. Step 2: Convert to fraction form
    249,085.13/386,749.69 = 386,749.69/x
  3. Step 3: Cross multiply
    249,085.13x = 386,749.69 × 386,749.69
  4. Step 4: Simplify right side
    249,085.13x = 149,575,320,781.35
  5. Step 5: Solve for x
    x = 149,575,320,781.35/249,085.13
  6. Step 6: Final answer
    x = 600,498.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.