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Finding the Third Proportional to 163,785 and 358,122

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Solution

The third proportional to 163,785 and 358,122 is: 783,047.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,785 : 358,122 = 358,122 : x
  2. Step 2: Convert to fraction form
    163,785/358,122 = 358,122/x
  3. Step 3: Cross multiply
    163,785x = 358,122 × 358,122
  4. Step 4: Simplify right side
    163,785x = 128,251,366,884
  5. Step 5: Solve for x
    x = 128,251,366,884/163,785
  6. Step 6: Final answer
    x = 783,047.09

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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.