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Finding the Third Proportional to 678,432 and 996,904

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Solution

The third proportional to 678,432 and 996,904 is: 1,464,874.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,432 : 996,904 = 996,904 : x
  2. Step 2: Convert to fraction form
    678,432/996,904 = 996,904/x
  3. Step 3: Cross multiply
    678,432x = 996,904 × 996,904
  4. Step 4: Simplify right side
    678,432x = 993,817,585,216
  5. Step 5: Solve for x
    x = 993,817,585,216/678,432
  6. Step 6: Final answer
    x = 1,464,874.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.