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Finding the Third Proportional to 154,566 and 338,688

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Solution

The third proportional to 154,566 and 338,688 is: 742,139.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,566 : 338,688 = 338,688 : x
  2. Step 2: Convert to fraction form
    154,566/338,688 = 338,688/x
  3. Step 3: Cross multiply
    154,566x = 338,688 × 338,688
  4. Step 4: Simplify right side
    154,566x = 114,709,561,344
  5. Step 5: Solve for x
    x = 114,709,561,344/154,566
  6. Step 6: Final answer
    x = 742,139.68

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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.