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Finding the Third Proportional to 424,313,025 and 633,856,341

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Solution

The third proportional to 424,313,025 and 633,856,341 is: 946,880,810.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,313,025 : 633,856,341 = 633,856,341 : x
  2. Step 2: Convert to fraction form
    424,313,025/633,856,341 = 633,856,341/x
  3. Step 3: Cross multiply
    424,313,025x = 633,856,341 × 633,856,341
  4. Step 4: Simplify right side
    424,313,025x = 401,773,861,025,908,288
  5. Step 5: Solve for x
    x = 401,773,861,025,908,288/424,313,025
  6. Step 6: Final answer
    x = 946,880,810.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.