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Finding the Third Proportional to 771,342,435 and 1,175,060,503

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Solution

The third proportional to 771,342,435 and 1,175,060,503 is: 1,790,083,266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,342,435 : 1,175,060,503 = 1,175,060,503 : x
  2. Step 2: Convert to fraction form
    771,342,435/1,175,060,503 = 1,175,060,503/x
  3. Step 3: Cross multiply
    771,342,435x = 1,175,060,503 × 1,175,060,503
  4. Step 4: Simplify right side
    771,342,435x = 1,380,767,185,710,612,992
  5. Step 5: Solve for x
    x = 1,380,767,185,710,612,992/771,342,435
  6. Step 6: Final answer
    x = 1,790,083,266.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.