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Finding the Third Proportional to 690,800 and 1,065,730

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Solution

The third proportional to 690,800 and 1,065,730 is: 1,644,152.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,800 : 1,065,730 = 1,065,730 : x
  2. Step 2: Convert to fraction form
    690,800/1,065,730 = 1,065,730/x
  3. Step 3: Cross multiply
    690,800x = 1,065,730 × 1,065,730
  4. Step 4: Simplify right side
    690,800x = 1,135,780,432,900
  5. Step 5: Solve for x
    x = 1,135,780,432,900/690,800
  6. Step 6: Final answer
    x = 1,644,152.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.