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Finding the Third Proportional to 502,290 and 1,102,127.25

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Solution

The third proportional to 502,290 and 1,102,127.25 is: 2,418,293.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,290 : 1,102,127.25 = 1,102,127.25 : x
  2. Step 2: Convert to fraction form
    502,290/1,102,127.25 = 1,102,127.25/x
  3. Step 3: Cross multiply
    502,290x = 1,102,127.25 × 1,102,127.25
  4. Step 4: Simplify right side
    502,290x = 1,214,684,475,192.56
  5. Step 5: Solve for x
    x = 1,214,684,475,192.56/502,290
  6. Step 6: Final answer
    x = 2,418,293.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.