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Finding the Third Proportional to 768,108 and 1,034,034

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Solution

The third proportional to 768,108 and 1,034,034 is: 1,392,026.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,108 : 1,034,034 = 1,034,034 : x
  2. Step 2: Convert to fraction form
    768,108/1,034,034 = 1,034,034/x
  3. Step 3: Cross multiply
    768,108x = 1,034,034 × 1,034,034
  4. Step 4: Simplify right side
    768,108x = 1,069,226,313,156
  5. Step 5: Solve for x
    x = 1,069,226,313,156/768,108
  6. Step 6: Final answer
    x = 1,392,026.01

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.