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Finding the Third Proportional to 686,988 and 1,465,276

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Solution

The third proportional to 686,988 and 1,465,276 is: 3,125,285.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,988 : 1,465,276 = 1,465,276 : x
  2. Step 2: Convert to fraction form
    686,988/1,465,276 = 1,465,276/x
  3. Step 3: Cross multiply
    686,988x = 1,465,276 × 1,465,276
  4. Step 4: Simplify right side
    686,988x = 2,147,033,756,176
  5. Step 5: Solve for x
    x = 2,147,033,756,176/686,988
  6. Step 6: Final answer
    x = 3,125,285.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.