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Finding the Third Proportional to 200,713 and 310,064

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Solution

The third proportional to 200,713 and 310,064 is: 478,990.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,713 : 310,064 = 310,064 : x
  2. Step 2: Convert to fraction form
    200,713/310,064 = 310,064/x
  3. Step 3: Cross multiply
    200,713x = 310,064 × 310,064
  4. Step 4: Simplify right side
    200,713x = 96,139,684,096
  5. Step 5: Solve for x
    x = 96,139,684,096/200,713
  6. Step 6: Final answer
    x = 478,990.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.