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Finding the Third Proportional to 315,564 and 686,424

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Solution

The third proportional to 315,564 and 686,424 is: 1,493,129.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,564 : 686,424 = 686,424 : x
  2. Step 2: Convert to fraction form
    315,564/686,424 = 686,424/x
  3. Step 3: Cross multiply
    315,564x = 686,424 × 686,424
  4. Step 4: Simplify right side
    315,564x = 471,177,907,776
  5. Step 5: Solve for x
    x = 471,177,907,776/315,564
  6. Step 6: Final answer
    x = 1,493,129.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.