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Finding the Third Proportional to 298,842 and 457,344

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Solution

The third proportional to 298,842 and 457,344 is: 699,913.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,842 : 457,344 = 457,344 : x
  2. Step 2: Convert to fraction form
    298,842/457,344 = 457,344/x
  3. Step 3: Cross multiply
    298,842x = 457,344 × 457,344
  4. Step 4: Simplify right side
    298,842x = 209,163,534,336
  5. Step 5: Solve for x
    x = 209,163,534,336/298,842
  6. Step 6: Final answer
    x = 699,913.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.