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Finding the Third Proportional to 10,459.13 and 15,678.56

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Solution

The third proportional to 10,459.13 and 15,678.56 is: 23,502.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.13 : 15,678.56 = 15,678.56 : x
  2. Step 2: Convert to fraction form
    10,459.13/15,678.56 = 15,678.56/x
  3. Step 3: Cross multiply
    10,459.13x = 15,678.56 × 15,678.56
  4. Step 4: Simplify right side
    10,459.13x = 245,817,322.07
  5. Step 5: Solve for x
    x = 245,817,322.07/10,459.13
  6. Step 6: Final answer
    x = 23,502.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.