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Finding the Third Proportional to 137,390.50 and 289,541

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Solution

The third proportional to 137,390.50 and 289,541 is: 610,187.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,390.50 : 289,541 = 289,541 : x
  2. Step 2: Convert to fraction form
    137,390.50/289,541 = 289,541/x
  3. Step 3: Cross multiply
    137,390.50x = 289,541 × 289,541
  4. Step 4: Simplify right side
    137,390.50x = 83,833,990,681
  5. Step 5: Solve for x
    x = 83,833,990,681/137,390.50
  6. Step 6: Final answer
    x = 610,187.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.