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Finding the Third Proportional to 255,345 and 357,813

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Solution

The third proportional to 255,345 and 357,813 is: 501,400.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,345 : 357,813 = 357,813 : x
  2. Step 2: Convert to fraction form
    255,345/357,813 = 357,813/x
  3. Step 3: Cross multiply
    255,345x = 357,813 × 357,813
  4. Step 4: Simplify right side
    255,345x = 128,030,142,969
  5. Step 5: Solve for x
    x = 128,030,142,969/255,345
  6. Step 6: Final answer
    x = 501,400.63

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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.