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Finding the Third Proportional to 200,717 and 310,070

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Solution

The third proportional to 200,717 and 310,070 is: 478,999.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,717 : 310,070 = 310,070 : x
  2. Step 2: Convert to fraction form
    200,717/310,070 = 310,070/x
  3. Step 3: Cross multiply
    200,717x = 310,070 × 310,070
  4. Step 4: Simplify right side
    200,717x = 96,143,404,900
  5. Step 5: Solve for x
    x = 96,143,404,900/200,717
  6. Step 6: Final answer
    x = 478,999.81

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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.