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Finding the Third Proportional to 512,386.59 and 765,756.28

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Solution

The third proportional to 512,386.59 and 765,756.28 is: 1,144,414.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,386.59 : 765,756.28 = 765,756.28 : x
  2. Step 2: Convert to fraction form
    512,386.59/765,756.28 = 765,756.28/x
  3. Step 3: Cross multiply
    512,386.59x = 765,756.28 × 765,756.28
  4. Step 4: Simplify right side
    512,386.59x = 586,382,682,273.83
  5. Step 5: Solve for x
    x = 586,382,682,273.83/512,386.59
  6. Step 6: Final answer
    x = 1,144,414.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.