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Finding the Third Proportional to 313,506,486 and 438,491,124

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Solution

The third proportional to 313,506,486 and 438,491,124 is: 613,302,991.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,506,486 : 438,491,124 = 438,491,124 : x
  2. Step 2: Convert to fraction form
    313,506,486/438,491,124 = 438,491,124/x
  3. Step 3: Cross multiply
    313,506,486x = 438,491,124 × 438,491,124
  4. Step 4: Simplify right side
    313,506,486x = 192,274,465,826,783,360
  5. Step 5: Solve for x
    x = 192,274,465,826,783,360/313,506,486
  6. Step 6: Final answer
    x = 613,302,991.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.