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Finding the Third Proportional to 486,703.69 and 755,569.69

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Solution

The third proportional to 486,703.69 and 755,569.69 is: 1,172,963.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,703.69 : 755,569.69 = 755,569.69 : x
  2. Step 2: Convert to fraction form
    486,703.69/755,569.69 = 755,569.69/x
  3. Step 3: Cross multiply
    486,703.69x = 755,569.69 × 755,569.69
  4. Step 4: Simplify right side
    486,703.69x = 570,885,552,668.85
  5. Step 5: Solve for x
    x = 570,885,552,668.85/486,703.69
  6. Step 6: Final answer
    x = 1,172,963.28

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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.