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Finding the Third Proportional to 515,038.50 and 801,672.19

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Solution

The third proportional to 515,038.50 and 801,672.19 is: 1,247,825.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,038.50 : 801,672.19 = 801,672.19 : x
  2. Step 2: Convert to fraction form
    515,038.50/801,672.19 = 801,672.19/x
  3. Step 3: Cross multiply
    515,038.50x = 801,672.19 × 801,672.19
  4. Step 4: Simplify right side
    515,038.50x = 642,678,296,211.04
  5. Step 5: Solve for x
    x = 642,678,296,211.04/515,038.50
  6. Step 6: Final answer
    x = 1,247,825.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.