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Finding the Third Proportional to 20,490 and 37,031

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Solution

The third proportional to 20,490 and 37,031 is: 66,925.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,490 : 37,031 = 37,031 : x
  2. Step 2: Convert to fraction form
    20,490/37,031 = 37,031/x
  3. Step 3: Cross multiply
    20,490x = 37,031 × 37,031
  4. Step 4: Simplify right side
    20,490x = 1,371,294,961
  5. Step 5: Solve for x
    x = 1,371,294,961/20,490
  6. Step 6: Final answer
    x = 66,925.08

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.