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Finding the Third Proportional to 780,260 and 1,165,286

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Solution

The third proportional to 780,260 and 1,165,286 is: 1,740,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,260 : 1,165,286 = 1,165,286 : x
  2. Step 2: Convert to fraction form
    780,260/1,165,286 = 1,165,286/x
  3. Step 3: Cross multiply
    780,260x = 1,165,286 × 1,165,286
  4. Step 4: Simplify right side
    780,260x = 1,357,891,461,796
  5. Step 5: Solve for x
    x = 1,357,891,461,796/780,260
  6. Step 6: Final answer
    x = 1,740,306.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.