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Finding the Third Proportional to 502,712 and 1,040,416

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Solution

The third proportional to 502,712 and 1,040,416 is: 2,153,251.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,712 : 1,040,416 = 1,040,416 : x
  2. Step 2: Convert to fraction form
    502,712/1,040,416 = 1,040,416/x
  3. Step 3: Cross multiply
    502,712x = 1,040,416 × 1,040,416
  4. Step 4: Simplify right side
    502,712x = 1,082,465,453,056
  5. Step 5: Solve for x
    x = 1,082,465,453,056/502,712
  6. Step 6: Final answer
    x = 2,153,251.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.