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Finding the Third Proportional to 151,769 and 330,312

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Solution

The third proportional to 151,769 and 330,312 is: 718,895.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,769 : 330,312 = 330,312 : x
  2. Step 2: Convert to fraction form
    151,769/330,312 = 330,312/x
  3. Step 3: Cross multiply
    151,769x = 330,312 × 330,312
  4. Step 4: Simplify right side
    151,769x = 109,106,017,344
  5. Step 5: Solve for x
    x = 109,106,017,344/151,769
  6. Step 6: Final answer
    x = 718,895.28

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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.