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Finding the Third Proportional to 255,213 and 357,631.88

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Solution

The third proportional to 255,213 and 357,631.88 is: 501,152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,213 : 357,631.88 = 357,631.88 : x
  2. Step 2: Convert to fraction form
    255,213/357,631.88 = 357,631.88/x
  3. Step 3: Cross multiply
    255,213x = 357,631.88 × 357,631.88
  4. Step 4: Simplify right side
    255,213x = 127,900,558,016.02
  5. Step 5: Solve for x
    x = 127,900,558,016.02/255,213
  6. Step 6: Final answer
    x = 501,152.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.