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Finding the Third Proportional to 448,620 and 984,428

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Solution

The third proportional to 448,620 and 984,428 is: 2,160,176.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,620 : 984,428 = 984,428 : x
  2. Step 2: Convert to fraction form
    448,620/984,428 = 984,428/x
  3. Step 3: Cross multiply
    448,620x = 984,428 × 984,428
  4. Step 4: Simplify right side
    448,620x = 969,098,487,184
  5. Step 5: Solve for x
    x = 969,098,487,184/448,620
  6. Step 6: Final answer
    x = 2,160,176.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.