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Finding the Third Proportional to 742,719 and 1,121,184

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Solution

The third proportional to 742,719 and 1,121,184 is: 1,692,502.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,719 : 1,121,184 = 1,121,184 : x
  2. Step 2: Convert to fraction form
    742,719/1,121,184 = 1,121,184/x
  3. Step 3: Cross multiply
    742,719x = 1,121,184 × 1,121,184
  4. Step 4: Simplify right side
    742,719x = 1,257,053,561,856
  5. Step 5: Solve for x
    x = 1,257,053,561,856/742,719
  6. Step 6: Final answer
    x = 1,692,502.23

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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.