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Finding the Third Proportional to 153,983 and 228,725

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Solution

The third proportional to 153,983 and 228,725 is: 339,746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,983 : 228,725 = 228,725 : x
  2. Step 2: Convert to fraction form
    153,983/228,725 = 228,725/x
  3. Step 3: Cross multiply
    153,983x = 228,725 × 228,725
  4. Step 4: Simplify right side
    153,983x = 52,315,125,625
  5. Step 5: Solve for x
    x = 52,315,125,625/153,983
  6. Step 6: Final answer
    x = 339,746.11

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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.