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Finding the Third Proportional to 454,544 and 987,712

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Solution

The third proportional to 454,544 and 987,712 is: 2,146,271.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,544 : 987,712 = 987,712 : x
  2. Step 2: Convert to fraction form
    454,544/987,712 = 987,712/x
  3. Step 3: Cross multiply
    454,544x = 987,712 × 987,712
  4. Step 4: Simplify right side
    454,544x = 975,574,994,944
  5. Step 5: Solve for x
    x = 975,574,994,944/454,544
  6. Step 6: Final answer
    x = 2,146,271.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.