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Finding the Third Proportional to 721,158 and 1,121,058

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Solution

The third proportional to 721,158 and 1,121,058 is: 1,742,712.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,158 : 1,121,058 = 1,121,058 : x
  2. Step 2: Convert to fraction form
    721,158/1,121,058 = 1,121,058/x
  3. Step 3: Cross multiply
    721,158x = 1,121,058 × 1,121,058
  4. Step 4: Simplify right side
    721,158x = 1,256,771,039,364
  5. Step 5: Solve for x
    x = 1,256,771,039,364/721,158
  6. Step 6: Final answer
    x = 1,742,712.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.