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Finding the Third Proportional to 721,117.50 and 1,538,772

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Solution

The third proportional to 721,117.50 and 1,538,772 is: 3,283,541.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,117.50 : 1,538,772 = 1,538,772 : x
  2. Step 2: Convert to fraction form
    721,117.50/1,538,772 = 1,538,772/x
  3. Step 3: Cross multiply
    721,117.50x = 1,538,772 × 1,538,772
  4. Step 4: Simplify right side
    721,117.50x = 2,367,819,267,984
  5. Step 5: Solve for x
    x = 2,367,819,267,984/721,117.50
  6. Step 6: Final answer
    x = 3,283,541.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.