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Finding the Third Proportional to 199,428 and 299,280

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Solution

The third proportional to 199,428 and 299,280 is: 449,127.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,428 : 299,280 = 299,280 : x
  2. Step 2: Convert to fraction form
    199,428/299,280 = 299,280/x
  3. Step 3: Cross multiply
    199,428x = 299,280 × 299,280
  4. Step 4: Simplify right side
    199,428x = 89,568,518,400
  5. Step 5: Solve for x
    x = 89,568,518,400/199,428
  6. Step 6: Final answer
    x = 449,127.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.