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Finding the Third Proportional to 230,216 and 357,280

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Solution

The third proportional to 230,216 and 357,280 is: 554,474.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,216 : 357,280 = 357,280 : x
  2. Step 2: Convert to fraction form
    230,216/357,280 = 357,280/x
  3. Step 3: Cross multiply
    230,216x = 357,280 × 357,280
  4. Step 4: Simplify right side
    230,216x = 127,648,998,400
  5. Step 5: Solve for x
    x = 127,648,998,400/230,216
  6. Step 6: Final answer
    x = 554,474.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.