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Finding the Third Proportional to 210,154.50 and 288,987.75

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Solution

The third proportional to 210,154.50 and 288,987.75 is: 397,392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,154.50 : 288,987.75 = 288,987.75 : x
  2. Step 2: Convert to fraction form
    210,154.50/288,987.75 = 288,987.75/x
  3. Step 3: Cross multiply
    210,154.50x = 288,987.75 × 288,987.75
  4. Step 4: Simplify right side
    210,154.50x = 83,513,919,650.06
  5. Step 5: Solve for x
    x = 83,513,919,650.06/210,154.50
  6. Step 6: Final answer
    x = 397,392.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.