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Finding the Third Proportional to 153,220 and 229,998

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Solution

The third proportional to 153,220 and 229,998 is: 345,249.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,220 : 229,998 = 229,998 : x
  2. Step 2: Convert to fraction form
    153,220/229,998 = 229,998/x
  3. Step 3: Cross multiply
    153,220x = 229,998 × 229,998
  4. Step 4: Simplify right side
    153,220x = 52,899,080,004
  5. Step 5: Solve for x
    x = 52,899,080,004/153,220
  6. Step 6: Final answer
    x = 345,249.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.