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Finding the Third Proportional to 119,308.50 and 257,297.63

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Solution

The third proportional to 119,308.50 and 257,297.63 is: 554,881.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,308.50 : 257,297.63 = 257,297.63 : x
  2. Step 2: Convert to fraction form
    119,308.50/257,297.63 = 257,297.63/x
  3. Step 3: Cross multiply
    119,308.50x = 257,297.63 × 257,297.63
  4. Step 4: Simplify right side
    119,308.50x = 66,202,067,830.64
  5. Step 5: Solve for x
    x = 66,202,067,830.64/119,308.50
  6. Step 6: Final answer
    x = 554,881.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.