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Finding the Third Proportional to 164,476 and 341,880.50

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Solution

The third proportional to 164,476 and 341,880.50 is: 710,634.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,476 : 341,880.50 = 341,880.50 : x
  2. Step 2: Convert to fraction form
    164,476/341,880.50 = 341,880.50/x
  3. Step 3: Cross multiply
    164,476x = 341,880.50 × 341,880.50
  4. Step 4: Simplify right side
    164,476x = 116,882,276,280.25
  5. Step 5: Solve for x
    x = 116,882,276,280.25/164,476
  6. Step 6: Final answer
    x = 710,634.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.