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Finding the Third Proportional to 153,230 and 356,076

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Solution

The third proportional to 153,230 and 356,076 is: 827,449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,230 : 356,076 = 356,076 : x
  2. Step 2: Convert to fraction form
    153,230/356,076 = 356,076/x
  3. Step 3: Cross multiply
    153,230x = 356,076 × 356,076
  4. Step 4: Simplify right side
    153,230x = 126,790,117,776
  5. Step 5: Solve for x
    x = 126,790,117,776/153,230
  6. Step 6: Final answer
    x = 827,449.70

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.