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Finding the Third Proportional to 258,668 and 399,076

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Solution

The third proportional to 258,668 and 399,076 is: 615,699.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,668 : 399,076 = 399,076 : x
  2. Step 2: Convert to fraction form
    258,668/399,076 = 399,076/x
  3. Step 3: Cross multiply
    258,668x = 399,076 × 399,076
  4. Step 4: Simplify right side
    258,668x = 159,261,653,776
  5. Step 5: Solve for x
    x = 159,261,653,776/258,668
  6. Step 6: Final answer
    x = 615,699.10

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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.