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Finding the Third Proportional to 66,501 and 145,719

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Solution

The third proportional to 66,501 and 145,719 is: 319,303.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,501 : 145,719 = 145,719 : x
  2. Step 2: Convert to fraction form
    66,501/145,719 = 145,719/x
  3. Step 3: Cross multiply
    66,501x = 145,719 × 145,719
  4. Step 4: Simplify right side
    66,501x = 21,234,026,961
  5. Step 5: Solve for x
    x = 21,234,026,961/66,501
  6. Step 6: Final answer
    x = 319,303.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.