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Finding the Third Proportional to 198,618 and 307,737

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Solution

The third proportional to 198,618 and 307,737 is: 476,805.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,618 : 307,737 = 307,737 : x
  2. Step 2: Convert to fraction form
    198,618/307,737 = 307,737/x
  3. Step 3: Cross multiply
    198,618x = 307,737 × 307,737
  4. Step 4: Simplify right side
    198,618x = 94,702,061,169
  5. Step 5: Solve for x
    x = 94,702,061,169/198,618
  6. Step 6: Final answer
    x = 476,805.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.