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Finding the Third Proportional to 515,038.50 and 781,305.75

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Solution

The third proportional to 515,038.50 and 781,305.75 is: 1,185,229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,038.50 : 781,305.75 = 781,305.75 : x
  2. Step 2: Convert to fraction form
    515,038.50/781,305.75 = 781,305.75/x
  3. Step 3: Cross multiply
    515,038.50x = 781,305.75 × 781,305.75
  4. Step 4: Simplify right side
    515,038.50x = 610,438,674,983.06
  5. Step 5: Solve for x
    x = 610,438,674,983.06/515,038.50
  6. Step 6: Final answer
    x = 1,185,229.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.