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Finding the Third Proportional to 153,220 and 237,800

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Solution

The third proportional to 153,220 and 237,800 is: 369,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,220 : 237,800 = 237,800 : x
  2. Step 2: Convert to fraction form
    153,220/237,800 = 237,800/x
  3. Step 3: Cross multiply
    153,220x = 237,800 × 237,800
  4. Step 4: Simplify right side
    153,220x = 56,548,840,000
  5. Step 5: Solve for x
    x = 56,548,840,000/153,220
  6. Step 6: Final answer
    x = 369,069.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.