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Finding the Third Proportional to 156,748 and 220,255

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Solution

The third proportional to 156,748 and 220,255 is: 309,492.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,748 : 220,255 = 220,255 : x
  2. Step 2: Convert to fraction form
    156,748/220,255 = 220,255/x
  3. Step 3: Cross multiply
    156,748x = 220,255 × 220,255
  4. Step 4: Simplify right side
    156,748x = 48,512,265,025
  5. Step 5: Solve for x
    x = 48,512,265,025/156,748
  6. Step 6: Final answer
    x = 309,492.08

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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.