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Finding the Third Proportional to 20,130 and 29,585

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Solution

The third proportional to 20,130 and 29,585 is: 43,480.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,130 : 29,585 = 29,585 : x
  2. Step 2: Convert to fraction form
    20,130/29,585 = 29,585/x
  3. Step 3: Cross multiply
    20,130x = 29,585 × 29,585
  4. Step 4: Simplify right side
    20,130x = 875,272,225
  5. Step 5: Solve for x
    x = 875,272,225/20,130
  6. Step 6: Final answer
    x = 43,480.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.