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Finding the Third Proportional to 255,341 and 357,807

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Solution

The third proportional to 255,341 and 357,807 is: 501,391.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,341 : 357,807 = 357,807 : x
  2. Step 2: Convert to fraction form
    255,341/357,807 = 357,807/x
  3. Step 3: Cross multiply
    255,341x = 357,807 × 357,807
  4. Step 4: Simplify right side
    255,341x = 128,025,849,249
  5. Step 5: Solve for x
    x = 128,025,849,249/255,341
  6. Step 6: Final answer
    x = 501,391.67

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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.