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Finding the Third Proportional to 143,046 and 210,411

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Solution

The third proportional to 143,046 and 210,411 is: 309,500.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,046 : 210,411 = 210,411 : x
  2. Step 2: Convert to fraction form
    143,046/210,411 = 210,411/x
  3. Step 3: Cross multiply
    143,046x = 210,411 × 210,411
  4. Step 4: Simplify right side
    143,046x = 44,272,788,921
  5. Step 5: Solve for x
    x = 44,272,788,921/143,046
  6. Step 6: Final answer
    x = 309,500.36

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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.