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Finding the Third Proportional to 143,142 and 210,337

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Solution

The third proportional to 143,142 and 210,337 is: 309,075.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,142 : 210,337 = 210,337 : x
  2. Step 2: Convert to fraction form
    143,142/210,337 = 210,337/x
  3. Step 3: Cross multiply
    143,142x = 210,337 × 210,337
  4. Step 4: Simplify right side
    143,142x = 44,241,653,569
  5. Step 5: Solve for x
    x = 44,241,653,569/143,142
  6. Step 6: Final answer
    x = 309,075.28

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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.