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Finding the Third Proportional to 163,806 and 358,392

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Solution

The third proportional to 163,806 and 358,392 is: 784,127.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,806 : 358,392 = 358,392 : x
  2. Step 2: Convert to fraction form
    163,806/358,392 = 358,392/x
  3. Step 3: Cross multiply
    163,806x = 358,392 × 358,392
  4. Step 4: Simplify right side
    163,806x = 128,444,825,664
  5. Step 5: Solve for x
    x = 128,444,825,664/163,806
  6. Step 6: Final answer
    x = 784,127.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.