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Finding the Third Proportional to 307,041,840 and 439,073,448

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Solution

The third proportional to 307,041,840 and 439,073,448 is: 627,880,202.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,041,840 : 439,073,448 = 439,073,448 : x
  2. Step 2: Convert to fraction form
    307,041,840/439,073,448 = 439,073,448/x
  3. Step 3: Cross multiply
    307,041,840x = 439,073,448 × 439,073,448
  4. Step 4: Simplify right side
    307,041,840x = 192,785,492,738,608,704
  5. Step 5: Solve for x
    x = 192,785,492,738,608,704/307,041,840
  6. Step 6: Final answer
    x = 627,880,202.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.