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Finding the Third Proportional to 720,658 and 1,668,130

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Solution

The third proportional to 720,658 and 1,668,130 is: 3,861,273.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,658 : 1,668,130 = 1,668,130 : x
  2. Step 2: Convert to fraction form
    720,658/1,668,130 = 1,668,130/x
  3. Step 3: Cross multiply
    720,658x = 1,668,130 × 1,668,130
  4. Step 4: Simplify right side
    720,658x = 2,782,657,696,900
  5. Step 5: Solve for x
    x = 2,782,657,696,900/720,658
  6. Step 6: Final answer
    x = 3,861,273.58

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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.