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Finding the Third Proportional to 64,980 and 99,210

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Solution

The third proportional to 64,980 and 99,210 is: 151,471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,980 : 99,210 = 99,210 : x
  2. Step 2: Convert to fraction form
    64,980/99,210 = 99,210/x
  3. Step 3: Cross multiply
    64,980x = 99,210 × 99,210
  4. Step 4: Simplify right side
    64,980x = 9,842,624,100
  5. Step 5: Solve for x
    x = 9,842,624,100/64,980
  6. Step 6: Final answer
    x = 151,471.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.