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Finding the Third Proportional to 163,814 and 358,408

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Solution

The third proportional to 163,814 and 358,408 is: 784,159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,814 : 358,408 = 358,408 : x
  2. Step 2: Convert to fraction form
    163,814/358,408 = 358,408/x
  3. Step 3: Cross multiply
    163,814x = 358,408 × 358,408
  4. Step 4: Simplify right side
    163,814x = 128,456,294,464
  5. Step 5: Solve for x
    x = 128,456,294,464/163,814
  6. Step 6: Final answer
    x = 784,159.44

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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.