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Finding the Third Proportional to 137,748 and 197,190

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Solution

The third proportional to 137,748 and 197,190 is: 282,282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,748 : 197,190 = 197,190 : x
  2. Step 2: Convert to fraction form
    137,748/197,190 = 197,190/x
  3. Step 3: Cross multiply
    137,748x = 197,190 × 197,190
  4. Step 4: Simplify right side
    137,748x = 38,883,896,100
  5. Step 5: Solve for x
    x = 38,883,896,100/137,748
  6. Step 6: Final answer
    x = 282,282.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.