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Finding the Third Proportional to 459,981 and 698,274

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Solution

The third proportional to 459,981 and 698,274 is: 1,060,014.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,981 : 698,274 = 698,274 : x
  2. Step 2: Convert to fraction form
    459,981/698,274 = 698,274/x
  3. Step 3: Cross multiply
    459,981x = 698,274 × 698,274
  4. Step 4: Simplify right side
    459,981x = 487,586,579,076
  5. Step 5: Solve for x
    x = 487,586,579,076/459,981
  6. Step 6: Final answer
    x = 1,060,014.61

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.