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Finding the Third Proportional to 782,403 and 1,668,146

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Solution

The third proportional to 782,403 and 1,668,146 is: 3,556,621.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,403 : 1,668,146 = 1,668,146 : x
  2. Step 2: Convert to fraction form
    782,403/1,668,146 = 1,668,146/x
  3. Step 3: Cross multiply
    782,403x = 1,668,146 × 1,668,146
  4. Step 4: Simplify right side
    782,403x = 2,782,711,077,316
  5. Step 5: Solve for x
    x = 2,782,711,077,316/782,403
  6. Step 6: Final answer
    x = 3,556,621.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.