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Finding the Third Proportional to 143,142 and 209,778

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Solution

The third proportional to 143,142 and 209,778 is: 307,434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,142 : 209,778 = 209,778 : x
  2. Step 2: Convert to fraction form
    143,142/209,778 = 209,778/x
  3. Step 3: Cross multiply
    143,142x = 209,778 × 209,778
  4. Step 4: Simplify right side
    143,142x = 44,006,809,284
  5. Step 5: Solve for x
    x = 44,006,809,284/143,142
  6. Step 6: Final answer
    x = 307,434.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.