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Finding the Third Proportional to 170,296.50 and 257,803.50

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Solution

The third proportional to 170,296.50 and 257,803.50 is: 390,276.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,296.50 : 257,803.50 = 257,803.50 : x
  2. Step 2: Convert to fraction form
    170,296.50/257,803.50 = 257,803.50/x
  3. Step 3: Cross multiply
    170,296.50x = 257,803.50 × 257,803.50
  4. Step 4: Simplify right side
    170,296.50x = 66,462,644,612.25
  5. Step 5: Solve for x
    x = 66,462,644,612.25/170,296.50
  6. Step 6: Final answer
    x = 390,276.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.