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Finding the Third Proportional to 308,952 and 676,953

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Solution

The third proportional to 308,952 and 676,953 is: 1,483,289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,952 : 676,953 = 676,953 : x
  2. Step 2: Convert to fraction form
    308,952/676,953 = 676,953/x
  3. Step 3: Cross multiply
    308,952x = 676,953 × 676,953
  4. Step 4: Simplify right side
    308,952x = 458,265,364,209
  5. Step 5: Solve for x
    x = 458,265,364,209/308,952
  6. Step 6: Final answer
    x = 1,483,289.85

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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.