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Finding the Third Proportional to 780,262 and 1,165,289

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Solution

The third proportional to 780,262 and 1,165,289 is: 1,740,310.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,262 : 1,165,289 = 1,165,289 : x
  2. Step 2: Convert to fraction form
    780,262/1,165,289 = 1,165,289/x
  3. Step 3: Cross multiply
    780,262x = 1,165,289 × 1,165,289
  4. Step 4: Simplify right side
    780,262x = 1,357,898,453,521
  5. Step 5: Solve for x
    x = 1,357,898,453,521/780,262
  6. Step 6: Final answer
    x = 1,740,310.89

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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.