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Finding the Third Proportional to 450,194 and 686,726

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Solution

The third proportional to 450,194 and 686,726 is: 1,047,531.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,194 : 686,726 = 686,726 : x
  2. Step 2: Convert to fraction form
    450,194/686,726 = 686,726/x
  3. Step 3: Cross multiply
    450,194x = 686,726 × 686,726
  4. Step 4: Simplify right side
    450,194x = 471,592,599,076
  5. Step 5: Solve for x
    x = 471,592,599,076/450,194
  6. Step 6: Final answer
    x = 1,047,531.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.