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Finding the Third Proportional to 322,386 and 692,348

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Solution

The third proportional to 322,386 and 692,348 is: 1,486,869.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,386 : 692,348 = 692,348 : x
  2. Step 2: Convert to fraction form
    322,386/692,348 = 692,348/x
  3. Step 3: Cross multiply
    322,386x = 692,348 × 692,348
  4. Step 4: Simplify right side
    322,386x = 479,345,753,104
  5. Step 5: Solve for x
    x = 479,345,753,104/322,386
  6. Step 6: Final answer
    x = 1,486,869.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.