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Finding the Third Proportional to 424,440 and 918,864

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Solution

The third proportional to 424,440 and 918,864 is: 1,989,235.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,440 : 918,864 = 918,864 : x
  2. Step 2: Convert to fraction form
    424,440/918,864 = 918,864/x
  3. Step 3: Cross multiply
    424,440x = 918,864 × 918,864
  4. Step 4: Simplify right side
    424,440x = 844,311,050,496
  5. Step 5: Solve for x
    x = 844,311,050,496/424,440
  6. Step 6: Final answer
    x = 1,989,235.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.