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Finding the Third Proportional to 286,466 and 623,908

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Solution

The third proportional to 286,466 and 623,908 is: 1,358,839.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,466 : 623,908 = 623,908 : x
  2. Step 2: Convert to fraction form
    286,466/623,908 = 623,908/x
  3. Step 3: Cross multiply
    286,466x = 623,908 × 623,908
  4. Step 4: Simplify right side
    286,466x = 389,261,192,464
  5. Step 5: Solve for x
    x = 389,261,192,464/286,466
  6. Step 6: Final answer
    x = 1,358,839.07

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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.