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Finding the Third Proportional to 248,940 and 357,858

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Solution

The third proportional to 248,940 and 357,858 is: 514,430.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,940 : 357,858 = 357,858 : x
  2. Step 2: Convert to fraction form
    248,940/357,858 = 357,858/x
  3. Step 3: Cross multiply
    248,940x = 357,858 × 357,858
  4. Step 4: Simplify right side
    248,940x = 128,062,348,164
  5. Step 5: Solve for x
    x = 128,062,348,164/248,940
  6. Step 6: Final answer
    x = 514,430.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.