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Finding the Third Proportional to 134,620 and 293,688

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Solution

The third proportional to 134,620 and 293,688 is: 640,711.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,620 : 293,688 = 293,688 : x
  2. Step 2: Convert to fraction form
    134,620/293,688 = 293,688/x
  3. Step 3: Cross multiply
    134,620x = 293,688 × 293,688
  4. Step 4: Simplify right side
    134,620x = 86,252,641,344
  5. Step 5: Solve for x
    x = 86,252,641,344/134,620
  6. Step 6: Final answer
    x = 640,711.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.