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Finding the Third Proportional to 187,445 and 409,842

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Solution

The third proportional to 187,445 and 409,842 is: 896,105.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,445 : 409,842 = 409,842 : x
  2. Step 2: Convert to fraction form
    187,445/409,842 = 409,842/x
  3. Step 3: Cross multiply
    187,445x = 409,842 × 409,842
  4. Step 4: Simplify right side
    187,445x = 167,970,464,964
  5. Step 5: Solve for x
    x = 167,970,464,964/187,445
  6. Step 6: Final answer
    x = 896,105.34

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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.