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Finding the Third Proportional to 400,878 and 616,437

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Solution

The third proportional to 400,878 and 616,437 is: 947,905.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,878 : 616,437 = 616,437 : x
  2. Step 2: Convert to fraction form
    400,878/616,437 = 616,437/x
  3. Step 3: Cross multiply
    400,878x = 616,437 × 616,437
  4. Step 4: Simplify right side
    400,878x = 379,994,574,969
  5. Step 5: Solve for x
    x = 379,994,574,969/400,878
  6. Step 6: Final answer
    x = 947,905.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.