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Finding the Third Proportional to 313,842 and 686,368

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Solution

The third proportional to 313,842 and 686,368 is: 1,501,077.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,842 : 686,368 = 686,368 : x
  2. Step 2: Convert to fraction form
    313,842/686,368 = 686,368/x
  3. Step 3: Cross multiply
    313,842x = 686,368 × 686,368
  4. Step 4: Simplify right side
    313,842x = 471,101,031,424
  5. Step 5: Solve for x
    x = 471,101,031,424/313,842
  6. Step 6: Final answer
    x = 1,501,077.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.