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Finding the Third Proportional to 319,256 and 698,344

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Solution

The third proportional to 319,256 and 698,344 is: 1,527,565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,256 : 698,344 = 698,344 : x
  2. Step 2: Convert to fraction form
    319,256/698,344 = 698,344/x
  3. Step 3: Cross multiply
    319,256x = 698,344 × 698,344
  4. Step 4: Simplify right side
    319,256x = 487,684,342,336
  5. Step 5: Solve for x
    x = 487,684,342,336/319,256
  6. Step 6: Final answer
    x = 1,527,565.16

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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.