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Finding the Third Proportional to 1,287,434.25 and 1,947,719.25

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Solution

The third proportional to 1,287,434.25 and 1,947,719.25 is: 2,946,643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,434.25 : 1,947,719.25 = 1,947,719.25 : x
  2. Step 2: Convert to fraction form
    1,287,434.25/1,947,719.25 = 1,947,719.25/x
  3. Step 3: Cross multiply
    1,287,434.25x = 1,947,719.25 × 1,947,719.25
  4. Step 4: Simplify right side
    1,287,434.25x = 3,793,610,276,820.56
  5. Step 5: Solve for x
    x = 3,793,610,276,820.56/1,287,434.25
  6. Step 6: Final answer
    x = 2,946,643.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.