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Finding the Third Proportional to 153,740 and 336,640

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Solution

The third proportional to 153,740 and 336,640 is: 737,130.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,740 : 336,640 = 336,640 : x
  2. Step 2: Convert to fraction form
    153,740/336,640 = 336,640/x
  3. Step 3: Cross multiply
    153,740x = 336,640 × 336,640
  4. Step 4: Simplify right side
    153,740x = 113,326,489,600
  5. Step 5: Solve for x
    x = 113,326,489,600/153,740
  6. Step 6: Final answer
    x = 737,130.80

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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.