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Finding the Third Proportional to 211,058 and 316,219

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Solution

The third proportional to 211,058 and 316,219 is: 473,777.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,058 : 316,219 = 316,219 : x
  2. Step 2: Convert to fraction form
    211,058/316,219 = 316,219/x
  3. Step 3: Cross multiply
    211,058x = 316,219 × 316,219
  4. Step 4: Simplify right side
    211,058x = 99,994,455,961
  5. Step 5: Solve for x
    x = 99,994,455,961/211,058
  6. Step 6: Final answer
    x = 473,777.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.