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Finding the Third Proportional to 142,700 and 209,911

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Solution

The third proportional to 142,700 and 209,911 is: 308,778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,700 : 209,911 = 209,911 : x
  2. Step 2: Convert to fraction form
    142,700/209,911 = 209,911/x
  3. Step 3: Cross multiply
    142,700x = 209,911 × 209,911
  4. Step 4: Simplify right side
    142,700x = 44,062,627,921
  5. Step 5: Solve for x
    x = 44,062,627,921/142,700
  6. Step 6: Final answer
    x = 308,778.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.