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Finding the Third Proportional to 115,740 and 245,700

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Solution

The third proportional to 115,740 and 245,700 is: 521,587.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,740 : 245,700 = 245,700 : x
  2. Step 2: Convert to fraction form
    115,740/245,700 = 245,700/x
  3. Step 3: Cross multiply
    115,740x = 245,700 × 245,700
  4. Step 4: Simplify right side
    115,740x = 60,368,490,000
  5. Step 5: Solve for x
    x = 60,368,490,000/115,740
  6. Step 6: Final answer
    x = 521,587.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.