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Finding the Third Proportional to 341,428 and 491,806

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Solution

The third proportional to 341,428 and 491,806 is: 708,416.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,428 : 491,806 = 491,806 : x
  2. Step 2: Convert to fraction form
    341,428/491,806 = 491,806/x
  3. Step 3: Cross multiply
    341,428x = 491,806 × 491,806
  4. Step 4: Simplify right side
    341,428x = 241,873,141,636
  5. Step 5: Solve for x
    x = 241,873,141,636/341,428
  6. Step 6: Final answer
    x = 708,416.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.