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Finding the Third Proportional to 152,787 and 336,033

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Solution

The third proportional to 152,787 and 336,033 is: 739,056.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,787 : 336,033 = 336,033 : x
  2. Step 2: Convert to fraction form
    152,787/336,033 = 336,033/x
  3. Step 3: Cross multiply
    152,787x = 336,033 × 336,033
  4. Step 4: Simplify right side
    152,787x = 112,918,177,089
  5. Step 5: Solve for x
    x = 112,918,177,089/152,787
  6. Step 6: Final answer
    x = 739,056.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.