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Finding the Third Proportional to 255,368.25 and 386,602.88

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Solution

The third proportional to 255,368.25 and 386,602.88 is: 585,279.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,368.25 : 386,602.88 = 386,602.88 : x
  2. Step 2: Convert to fraction form
    255,368.25/386,602.88 = 386,602.88/x
  3. Step 3: Cross multiply
    255,368.25x = 386,602.88 × 386,602.88
  4. Step 4: Simplify right side
    255,368.25x = 149,461,782,958.27
  5. Step 5: Solve for x
    x = 149,461,782,958.27/255,368.25
  6. Step 6: Final answer
    x = 585,279.43

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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.