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Finding the Third Proportional to 515,991.52 and 758,820.66

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Solution

The third proportional to 515,991.52 and 758,820.66 is: 1,115,926.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,991.52 : 758,820.66 = 758,820.66 : x
  2. Step 2: Convert to fraction form
    515,991.52/758,820.66 = 758,820.66/x
  3. Step 3: Cross multiply
    515,991.52x = 758,820.66 × 758,820.66
  4. Step 4: Simplify right side
    515,991.52x = 575,808,788,351.68
  5. Step 5: Solve for x
    x = 575,808,788,351.68/515,991.52
  6. Step 6: Final answer
    x = 1,115,926.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.