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Finding the Third Proportional to 20,547 and 30,915

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Solution

The third proportional to 20,547 and 30,915 is: 46,514.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,547 : 30,915 = 30,915 : x
  2. Step 2: Convert to fraction form
    20,547/30,915 = 30,915/x
  3. Step 3: Cross multiply
    20,547x = 30,915 × 30,915
  4. Step 4: Simplify right side
    20,547x = 955,737,225
  5. Step 5: Solve for x
    x = 955,737,225/20,547
  6. Step 6: Final answer
    x = 46,514.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.