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Finding the Third Proportional to 152,584 and 319,120

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Solution

The third proportional to 152,584 and 319,120 is: 667,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,584 : 319,120 = 319,120 : x
  2. Step 2: Convert to fraction form
    152,584/319,120 = 319,120/x
  3. Step 3: Cross multiply
    152,584x = 319,120 × 319,120
  4. Step 4: Simplify right side
    152,584x = 101,837,574,400
  5. Step 5: Solve for x
    x = 101,837,574,400/152,584
  6. Step 6: Final answer
    x = 667,419.75

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.