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Finding the Third Proportional to 255,306 and 357,765

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Solution

The third proportional to 255,306 and 357,765 is: 501,342.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,306 : 357,765 = 357,765 : x
  2. Step 2: Convert to fraction form
    255,306/357,765 = 357,765/x
  3. Step 3: Cross multiply
    255,306x = 357,765 × 357,765
  4. Step 4: Simplify right side
    255,306x = 127,995,795,225
  5. Step 5: Solve for x
    x = 127,995,795,225/255,306
  6. Step 6: Final answer
    x = 501,342.68

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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.