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Finding the Third Proportional to 230,977 and 343,090

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Solution

The third proportional to 230,977 and 343,090 is: 509,621.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,977 : 343,090 = 343,090 : x
  2. Step 2: Convert to fraction form
    230,977/343,090 = 343,090/x
  3. Step 3: Cross multiply
    230,977x = 343,090 × 343,090
  4. Step 4: Simplify right side
    230,977x = 117,710,748,100
  5. Step 5: Solve for x
    x = 117,710,748,100/230,977
  6. Step 6: Final answer
    x = 509,621.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.