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Finding the Third Proportional to 185,389,143 and 280,469,731

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Solution

The third proportional to 185,389,143 and 280,469,731 is: 424,314,330.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,389,143 : 280,469,731 = 280,469,731 : x
  2. Step 2: Convert to fraction form
    185,389,143/280,469,731 = 280,469,731/x
  3. Step 3: Cross multiply
    185,389,143x = 280,469,731 × 280,469,731
  4. Step 4: Simplify right side
    185,389,143x = 78,663,270,007,212,368
  5. Step 5: Solve for x
    x = 78,663,270,007,212,368/185,389,143
  6. Step 6: Final answer
    x = 424,314,330.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.