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Finding the Third Proportional to 35,581 and 77,724

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Solution

The third proportional to 35,581 and 77,724 is: 169,782.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,581 : 77,724 = 77,724 : x
  2. Step 2: Convert to fraction form
    35,581/77,724 = 77,724/x
  3. Step 3: Cross multiply
    35,581x = 77,724 × 77,724
  4. Step 4: Simplify right side
    35,581x = 6,041,020,176
  5. Step 5: Solve for x
    x = 6,041,020,176/35,581
  6. Step 6: Final answer
    x = 169,782.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.