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Finding the Third Proportional to 421,650 and 913,284

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Solution

The third proportional to 421,650 and 913,284 is: 1,978,151.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,650 : 913,284 = 913,284 : x
  2. Step 2: Convert to fraction form
    421,650/913,284 = 913,284/x
  3. Step 3: Cross multiply
    421,650x = 913,284 × 913,284
  4. Step 4: Simplify right side
    421,650x = 834,087,664,656
  5. Step 5: Solve for x
    x = 834,087,664,656/421,650
  6. Step 6: Final answer
    x = 1,978,151.70

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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.