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Finding the Third Proportional to 1,220,892.75 and 1,912,258.13

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Solution

The third proportional to 1,220,892.75 and 1,912,258.13 is: 2,995,128.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220,892.75 : 1,912,258.13 = 1,912,258.13 : x
  2. Step 2: Convert to fraction form
    1,220,892.75/1,912,258.13 = 1,912,258.13/x
  3. Step 3: Cross multiply
    1,220,892.75x = 1,912,258.13 × 1,912,258.13
  4. Step 4: Simplify right side
    1,220,892.75x = 3,656,731,136,628.52
  5. Step 5: Solve for x
    x = 3,656,731,136,628.52/1,220,892.75
  6. Step 6: Final answer
    x = 2,995,128.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.