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Finding the Third Proportional to 64,581 and 141,623

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Solution

The third proportional to 64,581 and 141,623 is: 310,572.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,581 : 141,623 = 141,623 : x
  2. Step 2: Convert to fraction form
    64,581/141,623 = 141,623/x
  3. Step 3: Cross multiply
    64,581x = 141,623 × 141,623
  4. Step 4: Simplify right side
    64,581x = 20,057,074,129
  5. Step 5: Solve for x
    x = 20,057,074,129/64,581
  6. Step 6: Final answer
    x = 310,572.37

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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.