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Finding the Third Proportional to 510,117.75 and 762,511.22

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Solution

The third proportional to 510,117.75 and 762,511.22 is: 1,139,782.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,117.75 : 762,511.22 = 762,511.22 : x
  2. Step 2: Convert to fraction form
    510,117.75/762,511.22 = 762,511.22/x
  3. Step 3: Cross multiply
    510,117.75x = 762,511.22 × 762,511.22
  4. Step 4: Simplify right side
    510,117.75x = 581,423,358,719.61
  5. Step 5: Solve for x
    x = 581,423,358,719.61/510,117.75
  6. Step 6: Final answer
    x = 1,139,782.65

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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.