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Finding the Third Proportional to 113,899 and 245,319

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Solution

The third proportional to 113,899 and 245,319 is: 528,375.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,899 : 245,319 = 245,319 : x
  2. Step 2: Convert to fraction form
    113,899/245,319 = 245,319/x
  3. Step 3: Cross multiply
    113,899x = 245,319 × 245,319
  4. Step 4: Simplify right side
    113,899x = 60,181,411,761
  5. Step 5: Solve for x
    x = 60,181,411,761/113,899
  6. Step 6: Final answer
    x = 528,375.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.