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Finding the Third Proportional to 677,988 and 919,752

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Solution

The third proportional to 677,988 and 919,752 is: 1,247,726.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,988 : 919,752 = 919,752 : x
  2. Step 2: Convert to fraction form
    677,988/919,752 = 919,752/x
  3. Step 3: Cross multiply
    677,988x = 919,752 × 919,752
  4. Step 4: Simplify right side
    677,988x = 845,943,741,504
  5. Step 5: Solve for x
    x = 845,943,741,504/677,988
  6. Step 6: Final answer
    x = 1,247,726.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.