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Finding the Third Proportional to 720,654 and 1,668,120

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Solution

The third proportional to 720,654 and 1,668,120 is: 3,861,248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,654 : 1,668,120 = 1,668,120 : x
  2. Step 2: Convert to fraction form
    720,654/1,668,120 = 1,668,120/x
  3. Step 3: Cross multiply
    720,654x = 1,668,120 × 1,668,120
  4. Step 4: Simplify right side
    720,654x = 2,782,624,334,400
  5. Step 5: Solve for x
    x = 2,782,624,334,400/720,654
  6. Step 6: Final answer
    x = 3,861,248.72

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.