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Finding the Third Proportional to 242,890 and 339,653.50

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Solution

The third proportional to 242,890 and 339,653.50 is: 474,966.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,890 : 339,653.50 = 339,653.50 : x
  2. Step 2: Convert to fraction form
    242,890/339,653.50 = 339,653.50/x
  3. Step 3: Cross multiply
    242,890x = 339,653.50 × 339,653.50
  4. Step 4: Simplify right side
    242,890x = 115,364,500,062.25
  5. Step 5: Solve for x
    x = 115,364,500,062.25/242,890
  6. Step 6: Final answer
    x = 474,966.03

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.