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Finding the Third Proportional to 181,386 and 423,565

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Solution

The third proportional to 181,386 and 423,565 is: 989,091.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,386 : 423,565 = 423,565 : x
  2. Step 2: Convert to fraction form
    181,386/423,565 = 423,565/x
  3. Step 3: Cross multiply
    181,386x = 423,565 × 423,565
  4. Step 4: Simplify right side
    181,386x = 179,407,309,225
  5. Step 5: Solve for x
    x = 179,407,309,225/181,386
  6. Step 6: Final answer
    x = 989,091.27

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.