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Finding the Third Proportional to 137,878.50 and 289,671

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Solution

The third proportional to 137,878.50 and 289,671 is: 608,574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,878.50 : 289,671 = 289,671 : x
  2. Step 2: Convert to fraction form
    137,878.50/289,671 = 289,671/x
  3. Step 3: Cross multiply
    137,878.50x = 289,671 × 289,671
  4. Step 4: Simplify right side
    137,878.50x = 83,909,288,241
  5. Step 5: Solve for x
    x = 83,909,288,241/137,878.50
  6. Step 6: Final answer
    x = 608,574.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.