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Finding the Third Proportional to 10,070 and 15,717.50

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Solution

The third proportional to 10,070 and 15,717.50 is: 24,532.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070 : 15,717.50 = 15,717.50 : x
  2. Step 2: Convert to fraction form
    10,070/15,717.50 = 15,717.50/x
  3. Step 3: Cross multiply
    10,070x = 15,717.50 × 15,717.50
  4. Step 4: Simplify right side
    10,070x = 247,039,806.25
  5. Step 5: Solve for x
    x = 247,039,806.25/10,070
  6. Step 6: Final answer
    x = 24,532.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.