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Finding the Third Proportional to 319,419 and 698,454

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Solution

The third proportional to 319,419 and 698,454 is: 1,527,266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,419 : 698,454 = 698,454 : x
  2. Step 2: Convert to fraction form
    319,419/698,454 = 698,454/x
  3. Step 3: Cross multiply
    319,419x = 698,454 × 698,454
  4. Step 4: Simplify right side
    319,419x = 487,837,990,116
  5. Step 5: Solve for x
    x = 487,837,990,116/319,419
  6. Step 6: Final answer
    x = 1,527,266.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.