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Finding the Third Proportional to 72,910 and 151,637

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Solution

The third proportional to 72,910 and 151,637 is: 315,372.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,910 : 151,637 = 151,637 : x
  2. Step 2: Convert to fraction form
    72,910/151,637 = 151,637/x
  3. Step 3: Cross multiply
    72,910x = 151,637 × 151,637
  4. Step 4: Simplify right side
    72,910x = 22,993,779,769
  5. Step 5: Solve for x
    x = 22,993,779,769/72,910
  6. Step 6: Final answer
    x = 315,372.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.