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Finding the Third Proportional to 282,689 and 437,157

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Solution

The third proportional to 282,689 and 437,157 is: 676,029.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,689 : 437,157 = 437,157 : x
  2. Step 2: Convert to fraction form
    282,689/437,157 = 437,157/x
  3. Step 3: Cross multiply
    282,689x = 437,157 × 437,157
  4. Step 4: Simplify right side
    282,689x = 191,106,242,649
  5. Step 5: Solve for x
    x = 191,106,242,649/282,689
  6. Step 6: Final answer
    x = 676,029.99

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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.