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Finding the Third Proportional to 180,853 and 392,840

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Solution

The third proportional to 180,853 and 392,840 is: 853,307.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,853 : 392,840 = 392,840 : x
  2. Step 2: Convert to fraction form
    180,853/392,840 = 392,840/x
  3. Step 3: Cross multiply
    180,853x = 392,840 × 392,840
  4. Step 4: Simplify right side
    180,853x = 154,323,265,600
  5. Step 5: Solve for x
    x = 154,323,265,600/180,853
  6. Step 6: Final answer
    x = 853,307.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.