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Finding the Third Proportional to 163,608 and 342,117

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Solution

The third proportional to 163,608 and 342,117 is: 715,393.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,608 : 342,117 = 342,117 : x
  2. Step 2: Convert to fraction form
    163,608/342,117 = 342,117/x
  3. Step 3: Cross multiply
    163,608x = 342,117 × 342,117
  4. Step 4: Simplify right side
    163,608x = 117,044,041,689
  5. Step 5: Solve for x
    x = 117,044,041,689/163,608
  6. Step 6: Final answer
    x = 715,393.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.