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Finding the Third Proportional to 153,282 and 228,979

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Solution

The third proportional to 153,282 and 228,979 is: 342,058.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,282 : 228,979 = 228,979 : x
  2. Step 2: Convert to fraction form
    153,282/228,979 = 228,979/x
  3. Step 3: Cross multiply
    153,282x = 228,979 × 228,979
  4. Step 4: Simplify right side
    153,282x = 52,431,382,441
  5. Step 5: Solve for x
    x = 52,431,382,441/153,282
  6. Step 6: Final answer
    x = 342,058.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.