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Finding the Third Proportional to 199,523,769 and 298,986,507

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Solution

The third proportional to 199,523,769 and 298,986,507 is: 448,031,489.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,523,769 : 298,986,507 = 298,986,507 : x
  2. Step 2: Convert to fraction form
    199,523,769/298,986,507 = 298,986,507/x
  3. Step 3: Cross multiply
    199,523,769x = 298,986,507 × 298,986,507
  4. Step 4: Simplify right side
    199,523,769x = 89,392,931,368,061,056
  5. Step 5: Solve for x
    x = 89,392,931,368,061,056/199,523,769
  6. Step 6: Final answer
    x = 448,031,489.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.