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Finding the Third Proportional to 152,130 and 330,015

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Solution

The third proportional to 152,130 and 330,015 is: 715,900.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,130 : 330,015 = 330,015 : x
  2. Step 2: Convert to fraction form
    152,130/330,015 = 330,015/x
  3. Step 3: Cross multiply
    152,130x = 330,015 × 330,015
  4. Step 4: Simplify right side
    152,130x = 108,909,900,225
  5. Step 5: Solve for x
    x = 108,909,900,225/152,130
  6. Step 6: Final answer
    x = 715,900.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.