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Finding the Third Proportional to 19,732 and 42,946

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Solution

The third proportional to 19,732 and 42,946 is: 93,470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,732 : 42,946 = 42,946 : x
  2. Step 2: Convert to fraction form
    19,732/42,946 = 42,946/x
  3. Step 3: Cross multiply
    19,732x = 42,946 × 42,946
  4. Step 4: Simplify right side
    19,732x = 1,844,358,916
  5. Step 5: Solve for x
    x = 1,844,358,916/19,732
  6. Step 6: Final answer
    x = 93,470.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.