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Finding the Third Proportional to 687,317 and 1,437,226

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Solution

The third proportional to 687,317 and 1,437,226 is: 3,005,336.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,317 : 1,437,226 = 1,437,226 : x
  2. Step 2: Convert to fraction form
    687,317/1,437,226 = 1,437,226/x
  3. Step 3: Cross multiply
    687,317x = 1,437,226 × 1,437,226
  4. Step 4: Simplify right side
    687,317x = 2,065,618,575,076
  5. Step 5: Solve for x
    x = 2,065,618,575,076/687,317
  6. Step 6: Final answer
    x = 3,005,336.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.