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Finding the Third Proportional to 198,697,948.50 and 296,104,866

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Solution

The third proportional to 198,697,948.50 and 296,104,866 is: 441,263,195.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,697,948.50 : 296,104,866 = 296,104,866 : x
  2. Step 2: Convert to fraction form
    198,697,948.50/296,104,866 = 296,104,866/x
  3. Step 3: Cross multiply
    198,697,948.50x = 296,104,866 × 296,104,866
  4. Step 4: Simplify right side
    198,697,948.50x = 87,678,091,668,877,952
  5. Step 5: Solve for x
    x = 87,678,091,668,877,952/198,697,948.50
  6. Step 6: Final answer
    x = 441,263,195.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.