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Finding the Third Proportional to 310,140 and 447,138

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Solution

The third proportional to 310,140 and 447,138 is: 644,652.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,140 : 447,138 = 447,138 : x
  2. Step 2: Convert to fraction form
    310,140/447,138 = 447,138/x
  3. Step 3: Cross multiply
    310,140x = 447,138 × 447,138
  4. Step 4: Simplify right side
    310,140x = 199,932,391,044
  5. Step 5: Solve for x
    x = 199,932,391,044/310,140
  6. Step 6: Final answer
    x = 644,652.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.