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Finding the Third Proportional to 143,818 and 302,509

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Solution

The third proportional to 143,818 and 302,509 is: 636,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,818 : 302,509 = 302,509 : x
  2. Step 2: Convert to fraction form
    143,818/302,509 = 302,509/x
  3. Step 3: Cross multiply
    143,818x = 302,509 × 302,509
  4. Step 4: Simplify right side
    143,818x = 91,511,695,081
  5. Step 5: Solve for x
    x = 91,511,695,081/143,818
  6. Step 6: Final answer
    x = 636,302.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.