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Finding the Third Proportional to 502,720 and 1,077,403

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Solution

The third proportional to 502,720 and 1,077,403 is: 2,309,033.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,720 : 1,077,403 = 1,077,403 : x
  2. Step 2: Convert to fraction form
    502,720/1,077,403 = 1,077,403/x
  3. Step 3: Cross multiply
    502,720x = 1,077,403 × 1,077,403
  4. Step 4: Simplify right side
    502,720x = 1,160,797,224,409
  5. Step 5: Solve for x
    x = 1,160,797,224,409/502,720
  6. Step 6: Final answer
    x = 2,309,033.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.