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Finding the Third Proportional to 155,988 and 228,132

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Solution

The third proportional to 155,988 and 228,132 is: 333,642.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,988 : 228,132 = 228,132 : x
  2. Step 2: Convert to fraction form
    155,988/228,132 = 228,132/x
  3. Step 3: Cross multiply
    155,988x = 228,132 × 228,132
  4. Step 4: Simplify right side
    155,988x = 52,044,209,424
  5. Step 5: Solve for x
    x = 52,044,209,424/155,988
  6. Step 6: Final answer
    x = 333,642.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.