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Finding the Third Proportional to 299,258 and 498,711

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Solution

The third proportional to 299,258 and 498,711 is: 831,097.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,258 : 498,711 = 498,711 : x
  2. Step 2: Convert to fraction form
    299,258/498,711 = 498,711/x
  3. Step 3: Cross multiply
    299,258x = 498,711 × 498,711
  4. Step 4: Simplify right side
    299,258x = 248,712,661,521
  5. Step 5: Solve for x
    x = 248,712,661,521/299,258
  6. Step 6: Final answer
    x = 831,097.79

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.