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Finding the Third Proportional to 912,824 and 1,420,908

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Solution

The third proportional to 912,824 and 1,420,908 is: 2,211,794.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,824 : 1,420,908 = 1,420,908 : x
  2. Step 2: Convert to fraction form
    912,824/1,420,908 = 1,420,908/x
  3. Step 3: Cross multiply
    912,824x = 1,420,908 × 1,420,908
  4. Step 4: Simplify right side
    912,824x = 2,018,979,544,464
  5. Step 5: Solve for x
    x = 2,018,979,544,464/912,824
  6. Step 6: Final answer
    x = 2,211,794.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.