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Finding the Third Proportional to 320,396.92 and 700,643.04

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Solution

The third proportional to 320,396.92 and 700,643.04 is: 1,532,164.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,396.92 : 700,643.04 = 700,643.04 : x
  2. Step 2: Convert to fraction form
    320,396.92/700,643.04 = 700,643.04/x
  3. Step 3: Cross multiply
    320,396.92x = 700,643.04 × 700,643.04
  4. Step 4: Simplify right side
    320,396.92x = 490,900,668,186.74
  5. Step 5: Solve for x
    x = 490,900,668,186.74/320,396.92
  6. Step 6: Final answer
    x = 1,532,164.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.