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Finding the Third Proportional to 163,776 and 358,104

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Solution

The third proportional to 163,776 and 358,104 is: 783,011.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,776 : 358,104 = 358,104 : x
  2. Step 2: Convert to fraction form
    163,776/358,104 = 358,104/x
  3. Step 3: Cross multiply
    163,776x = 358,104 × 358,104
  4. Step 4: Simplify right side
    163,776x = 128,238,474,816
  5. Step 5: Solve for x
    x = 128,238,474,816/163,776
  6. Step 6: Final answer
    x = 783,011.40

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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.