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Finding the Third Proportional to 255,339 and 357,804

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Solution

The third proportional to 255,339 and 357,804 is: 501,387.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,339 : 357,804 = 357,804 : x
  2. Step 2: Convert to fraction form
    255,339/357,804 = 357,804/x
  3. Step 3: Cross multiply
    255,339x = 357,804 × 357,804
  4. Step 4: Simplify right side
    255,339x = 128,023,702,416
  5. Step 5: Solve for x
    x = 128,023,702,416/255,339
  6. Step 6: Final answer
    x = 501,387.18

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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.