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Finding the Third Proportional to 145,620 and 206,280

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Solution

The third proportional to 145,620 and 206,280 is: 292,208.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,620 : 206,280 = 206,280 : x
  2. Step 2: Convert to fraction form
    145,620/206,280 = 206,280/x
  3. Step 3: Cross multiply
    145,620x = 206,280 × 206,280
  4. Step 4: Simplify right side
    145,620x = 42,551,438,400
  5. Step 5: Solve for x
    x = 42,551,438,400/145,620
  6. Step 6: Final answer
    x = 292,208.75

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.