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Finding the Third Proportional to 153,911 and 330,819

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Solution

The third proportional to 153,911 and 330,819 is: 711,068.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,911 : 330,819 = 330,819 : x
  2. Step 2: Convert to fraction form
    153,911/330,819 = 330,819/x
  3. Step 3: Cross multiply
    153,911x = 330,819 × 330,819
  4. Step 4: Simplify right side
    153,911x = 109,441,210,761
  5. Step 5: Solve for x
    x = 109,441,210,761/153,911
  6. Step 6: Final answer
    x = 711,068.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.