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Finding the Third Proportional to 9,463 and 25,637.50

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Solution

The third proportional to 9,463 and 25,637.50 is: 69,458.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463 : 25,637.50 = 25,637.50 : x
  2. Step 2: Convert to fraction form
    9,463/25,637.50 = 25,637.50/x
  3. Step 3: Cross multiply
    9,463x = 25,637.50 × 25,637.50
  4. Step 4: Simplify right side
    9,463x = 657,281,406.25
  5. Step 5: Solve for x
    x = 657,281,406.25/9,463
  6. Step 6: Final answer
    x = 69,458.04

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.