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Finding the Third Proportional to 768,643.17 and 1,643,674.78

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Solution

The third proportional to 768,643.17 and 1,643,674.78 is: 3,514,851.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,643.17 : 1,643,674.78 = 1,643,674.78 : x
  2. Step 2: Convert to fraction form
    768,643.17/1,643,674.78 = 1,643,674.78/x
  3. Step 3: Cross multiply
    768,643.17x = 1,643,674.78 × 1,643,674.78
  4. Step 4: Simplify right side
    768,643.17x = 2,701,666,786,517.24
  5. Step 5: Solve for x
    x = 2,701,666,786,517.24/768,643.17
  6. Step 6: Final answer
    x = 3,514,851.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.