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Finding the Third Proportional to 161,439 and 354,715.50

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Solution

The third proportional to 161,439 and 354,715.50 is: 779,384.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,439 : 354,715.50 = 354,715.50 : x
  2. Step 2: Convert to fraction form
    161,439/354,715.50 = 354,715.50/x
  3. Step 3: Cross multiply
    161,439x = 354,715.50 × 354,715.50
  4. Step 4: Simplify right side
    161,439x = 125,823,085,940.25
  5. Step 5: Solve for x
    x = 125,823,085,940.25/161,439
  6. Step 6: Final answer
    x = 779,384.70

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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.