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Finding the Third Proportional to 310,654 and 477,339

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Solution

The third proportional to 310,654 and 477,339 is: 733,460.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,654 : 477,339 = 477,339 : x
  2. Step 2: Convert to fraction form
    310,654/477,339 = 477,339/x
  3. Step 3: Cross multiply
    310,654x = 477,339 × 477,339
  4. Step 4: Simplify right side
    310,654x = 227,852,520,921
  5. Step 5: Solve for x
    x = 227,852,520,921/310,654
  6. Step 6: Final answer
    x = 733,460.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.