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Finding the Third Proportional to 77,461 and 169,136

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Solution

The third proportional to 77,461 and 169,136 is: 369,308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,461 : 169,136 = 169,136 : x
  2. Step 2: Convert to fraction form
    77,461/169,136 = 169,136/x
  3. Step 3: Cross multiply
    77,461x = 169,136 × 169,136
  4. Step 4: Simplify right side
    77,461x = 28,606,986,496
  5. Step 5: Solve for x
    x = 28,606,986,496/77,461
  6. Step 6: Final answer
    x = 369,308.25

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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.