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Finding the Third Proportional to 230,218 and 357,283

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Solution

The third proportional to 230,218 and 357,283 is: 554,479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,218 : 357,283 = 357,283 : x
  2. Step 2: Convert to fraction form
    230,218/357,283 = 357,283/x
  3. Step 3: Cross multiply
    230,218x = 357,283 × 357,283
  4. Step 4: Simplify right side
    230,218x = 127,651,142,089
  5. Step 5: Solve for x
    x = 127,651,142,089/230,218
  6. Step 6: Final answer
    x = 554,479.42

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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.