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Finding the Third Proportional to 156,720 and 348,320

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Solution

The third proportional to 156,720 and 348,320 is: 774,162.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,720 : 348,320 = 348,320 : x
  2. Step 2: Convert to fraction form
    156,720/348,320 = 348,320/x
  3. Step 3: Cross multiply
    156,720x = 348,320 × 348,320
  4. Step 4: Simplify right side
    156,720x = 121,326,822,400
  5. Step 5: Solve for x
    x = 121,326,822,400/156,720
  6. Step 6: Final answer
    x = 774,162.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.