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Finding the Third Proportional to 198,576 and 277,776

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Solution

The third proportional to 198,576 and 277,776 is: 388,564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,576 : 277,776 = 277,776 : x
  2. Step 2: Convert to fraction form
    198,576/277,776 = 277,776/x
  3. Step 3: Cross multiply
    198,576x = 277,776 × 277,776
  4. Step 4: Simplify right side
    198,576x = 77,159,506,176
  5. Step 5: Solve for x
    x = 77,159,506,176/198,576
  6. Step 6: Final answer
    x = 388,564.11

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Why These Related Problems?

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