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Finding the Third Proportional to 220,596 and 310,638

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Solution

The third proportional to 220,596 and 310,638 is: 437,432.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,596 : 310,638 = 310,638 : x
  2. Step 2: Convert to fraction form
    220,596/310,638 = 310,638/x
  3. Step 3: Cross multiply
    220,596x = 310,638 × 310,638
  4. Step 4: Simplify right side
    220,596x = 96,495,967,044
  5. Step 5: Solve for x
    x = 96,495,967,044/220,596
  6. Step 6: Final answer
    x = 437,432.99

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.