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Finding the Third Proportional to 384,737,113.25 and 780,179,988.88

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Solution

The third proportional to 384,737,113.25 and 780,179,988.88 is: 1,582,069,402.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,737,113.25 : 780,179,988.88 = 780,179,988.88 : x
  2. Step 2: Convert to fraction form
    384,737,113.25/780,179,988.88 = 780,179,988.88/x
  3. Step 3: Cross multiply
    384,737,113.25x = 780,179,988.88 × 780,179,988.88
  4. Step 4: Simplify right side
    384,737,113.25x = 608,680,815,040,995,072
  5. Step 5: Solve for x
    x = 608,680,815,040,995,072/384,737,113.25
  6. Step 6: Final answer
    x = 1,582,069,402.92

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.