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Finding the Third Proportional to 142,310 and 214,403

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Solution

The third proportional to 142,310 and 214,403 is: 323,017.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,310 : 214,403 = 214,403 : x
  2. Step 2: Convert to fraction form
    142,310/214,403 = 214,403/x
  3. Step 3: Cross multiply
    142,310x = 214,403 × 214,403
  4. Step 4: Simplify right side
    142,310x = 45,968,646,409
  5. Step 5: Solve for x
    x = 45,968,646,409/142,310
  6. Step 6: Final answer
    x = 323,017.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.