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Finding the Third Proportional to 255,357 and 386,590.50

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Solution

The third proportional to 255,357 and 386,590.50 is: 585,267.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,357 : 386,590.50 = 386,590.50 : x
  2. Step 2: Convert to fraction form
    255,357/386,590.50 = 386,590.50/x
  3. Step 3: Cross multiply
    255,357x = 386,590.50 × 386,590.50
  4. Step 4: Simplify right side
    255,357x = 149,452,214,690.25
  5. Step 5: Solve for x
    x = 149,452,214,690.25/255,357
  6. Step 6: Final answer
    x = 585,267.74

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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.