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Finding the Third Proportional to 668,230 and 1,036,289

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Solution

The third proportional to 668,230 and 1,036,289 is: 1,607,073.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,230 : 1,036,289 = 1,036,289 : x
  2. Step 2: Convert to fraction form
    668,230/1,036,289 = 1,036,289/x
  3. Step 3: Cross multiply
    668,230x = 1,036,289 × 1,036,289
  4. Step 4: Simplify right side
    668,230x = 1,073,894,891,521
  5. Step 5: Solve for x
    x = 1,073,894,891,521/668,230
  6. Step 6: Final answer
    x = 1,607,073.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.