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Finding the Third Proportional to 253,617.75 and 395,573.63

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Solution

The third proportional to 253,617.75 and 395,573.63 is: 616,985.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,617.75 : 395,573.63 = 395,573.63 : x
  2. Step 2: Convert to fraction form
    253,617.75/395,573.63 = 395,573.63/x
  3. Step 3: Cross multiply
    253,617.75x = 395,573.63 × 395,573.63
  4. Step 4: Simplify right side
    253,617.75x = 156,478,492,795.64
  5. Step 5: Solve for x
    x = 156,478,492,795.64/253,617.75
  6. Step 6: Final answer
    x = 616,985.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.