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Finding the Third Proportional to 35,709 and 77,646

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Solution

The third proportional to 35,709 and 77,646 is: 168,834.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,709 : 77,646 = 77,646 : x
  2. Step 2: Convert to fraction form
    35,709/77,646 = 77,646/x
  3. Step 3: Cross multiply
    35,709x = 77,646 × 77,646
  4. Step 4: Simplify right side
    35,709x = 6,028,901,316
  5. Step 5: Solve for x
    x = 6,028,901,316/35,709
  6. Step 6: Final answer
    x = 168,834.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.