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Finding the Third Proportional to 19,970 and 38,386

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Solution

The third proportional to 19,970 and 38,386 is: 73,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,970 : 38,386 = 38,386 : x
  2. Step 2: Convert to fraction form
    19,970/38,386 = 38,386/x
  3. Step 3: Cross multiply
    19,970x = 38,386 × 38,386
  4. Step 4: Simplify right side
    19,970x = 1,473,484,996
  5. Step 5: Solve for x
    x = 1,473,484,996/19,970
  6. Step 6: Final answer
    x = 73,784.93

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.