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Finding the Third Proportional to 768,423 and 1,655,214

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Solution

The third proportional to 768,423 and 1,655,214 is: 3,565,397.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,423 : 1,655,214 = 1,655,214 : x
  2. Step 2: Convert to fraction form
    768,423/1,655,214 = 1,655,214/x
  3. Step 3: Cross multiply
    768,423x = 1,655,214 × 1,655,214
  4. Step 4: Simplify right side
    768,423x = 2,739,733,385,796
  5. Step 5: Solve for x
    x = 2,739,733,385,796/768,423
  6. Step 6: Final answer
    x = 3,565,397.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.