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Finding the Third Proportional to 198,440 and 277,572

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Solution

The third proportional to 198,440 and 277,572 is: 388,259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,440 : 277,572 = 277,572 : x
  2. Step 2: Convert to fraction form
    198,440/277,572 = 277,572/x
  3. Step 3: Cross multiply
    198,440x = 277,572 × 277,572
  4. Step 4: Simplify right side
    198,440x = 77,046,215,184
  5. Step 5: Solve for x
    x = 77,046,215,184/198,440
  6. Step 6: Final answer
    x = 388,259.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.