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Finding the Third Proportional to 282,199 and 437,140

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Solution

The third proportional to 282,199 and 437,140 is: 677,151.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,199 : 437,140 = 437,140 : x
  2. Step 2: Convert to fraction form
    282,199/437,140 = 437,140/x
  3. Step 3: Cross multiply
    282,199x = 437,140 × 437,140
  4. Step 4: Simplify right side
    282,199x = 191,091,379,600
  5. Step 5: Solve for x
    x = 191,091,379,600/282,199
  6. Step 6: Final answer
    x = 677,151.16

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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.