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Finding the Third Proportional to 10,318.64 and 15,290.02

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Solution

The third proportional to 10,318.64 and 15,290.02 is: 22,656.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318.64 : 15,290.02 = 15,290.02 : x
  2. Step 2: Convert to fraction form
    10,318.64/15,290.02 = 15,290.02/x
  3. Step 3: Cross multiply
    10,318.64x = 15,290.02 × 15,290.02
  4. Step 4: Simplify right side
    10,318.64x = 233,784,577.81
  5. Step 5: Solve for x
    x = 233,784,577.81/10,318.64
  6. Step 6: Final answer
    x = 22,656.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.