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Finding the Third Proportional to 140,006 and 210,729

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Solution

The third proportional to 140,006 and 210,729 is: 317,177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,006 : 210,729 = 210,729 : x
  2. Step 2: Convert to fraction form
    140,006/210,729 = 210,729/x
  3. Step 3: Cross multiply
    140,006x = 210,729 × 210,729
  4. Step 4: Simplify right side
    140,006x = 44,406,711,441
  5. Step 5: Solve for x
    x = 44,406,711,441/140,006
  6. Step 6: Final answer
    x = 317,177.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.