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Finding the Third Proportional to 319,084 and 696,128

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Solution

The third proportional to 319,084 and 696,128 is: 1,518,704.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,084 : 696,128 = 696,128 : x
  2. Step 2: Convert to fraction form
    319,084/696,128 = 696,128/x
  3. Step 3: Cross multiply
    319,084x = 696,128 × 696,128
  4. Step 4: Simplify right side
    319,084x = 484,594,192,384
  5. Step 5: Solve for x
    x = 484,594,192,384/319,084
  6. Step 6: Final answer
    x = 1,518,704.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.