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Finding the Third Proportional to 161,136 and 354,492

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Solution

The third proportional to 161,136 and 354,492 is: 779,866.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,136 : 354,492 = 354,492 : x
  2. Step 2: Convert to fraction form
    161,136/354,492 = 354,492/x
  3. Step 3: Cross multiply
    161,136x = 354,492 × 354,492
  4. Step 4: Simplify right side
    161,136x = 125,664,578,064
  5. Step 5: Solve for x
    x = 125,664,578,064/161,136
  6. Step 6: Final answer
    x = 779,866.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.