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Finding the Third Proportional to 1,576,480.50 and 3,447,414

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Solution

The third proportional to 1,576,480.50 and 3,447,414 is: 7,538,731.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576,480.50 : 3,447,414 = 3,447,414 : x
  2. Step 2: Convert to fraction form
    1,576,480.50/3,447,414 = 3,447,414/x
  3. Step 3: Cross multiply
    1,576,480.50x = 3,447,414 × 3,447,414
  4. Step 4: Simplify right side
    1,576,480.50x = 11,884,663,287,396
  5. Step 5: Solve for x
    x = 11,884,663,287,396/1,576,480.50
  6. Step 6: Final answer
    x = 7,538,731.55

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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.