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Finding the Third Proportional to 864.25 and 1,888.50

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Solution

The third proportional to 864.25 and 1,888.50 is: 4,126.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.25 : 1,888.50 = 1,888.50 : x
  2. Step 2: Convert to fraction form
    864.25/1,888.50 = 1,888.50/x
  3. Step 3: Cross multiply
    864.25x = 1,888.50 × 1,888.50
  4. Step 4: Simplify right side
    864.25x = 3,566,432.25
  5. Step 5: Solve for x
    x = 3,566,432.25/864.25
  6. Step 6: Final answer
    x = 4,126.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.