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Finding the Third Proportional to 865,679 and 1,293,674

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Solution

The third proportional to 865,679 and 1,293,674 is: 1,933,271.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,679 : 1,293,674 = 1,293,674 : x
  2. Step 2: Convert to fraction form
    865,679/1,293,674 = 1,293,674/x
  3. Step 3: Cross multiply
    865,679x = 1,293,674 × 1,293,674
  4. Step 4: Simplify right side
    865,679x = 1,673,592,418,276
  5. Step 5: Solve for x
    x = 1,673,592,418,276/865,679
  6. Step 6: Final answer
    x = 1,933,271.36

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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.