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Finding the Third Proportional to 64,670 and 99,896

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Solution

The third proportional to 64,670 and 99,896 is: 154,309.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,670 : 99,896 = 99,896 : x
  2. Step 2: Convert to fraction form
    64,670/99,896 = 99,896/x
  3. Step 3: Cross multiply
    64,670x = 99,896 × 99,896
  4. Step 4: Simplify right side
    64,670x = 9,979,210,816
  5. Step 5: Solve for x
    x = 9,979,210,816/64,670
  6. Step 6: Final answer
    x = 154,309.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.