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Finding the Third Proportional to 199,718 and 434,428

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Solution

The third proportional to 199,718 and 434,428 is: 944,970.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,718 : 434,428 = 434,428 : x
  2. Step 2: Convert to fraction form
    199,718/434,428 = 434,428/x
  3. Step 3: Cross multiply
    199,718x = 434,428 × 434,428
  4. Step 4: Simplify right side
    199,718x = 188,727,687,184
  5. Step 5: Solve for x
    x = 188,727,687,184/199,718
  6. Step 6: Final answer
    x = 944,970.84

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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.