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Finding the Third Proportional to 392,742.75 and 847,484.06

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Solution

The third proportional to 392,742.75 and 847,484.06 is: 1,828,752.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,742.75 : 847,484.06 = 847,484.06 : x
  2. Step 2: Convert to fraction form
    392,742.75/847,484.06 = 847,484.06/x
  3. Step 3: Cross multiply
    392,742.75x = 847,484.06 × 847,484.06
  4. Step 4: Simplify right side
    392,742.75x = 718,229,236,191.50
  5. Step 5: Solve for x
    x = 718,229,236,191.50/392,742.75
  6. Step 6: Final answer
    x = 1,828,752.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.