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Finding the Third Proportional to 398,088 and 616,410

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Solution

The third proportional to 398,088 and 616,410 is: 954,465.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,088 : 616,410 = 616,410 : x
  2. Step 2: Convert to fraction form
    398,088/616,410 = 616,410/x
  3. Step 3: Cross multiply
    398,088x = 616,410 × 616,410
  4. Step 4: Simplify right side
    398,088x = 379,961,288,100
  5. Step 5: Solve for x
    x = 379,961,288,100/398,088
  6. Step 6: Final answer
    x = 954,465.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.