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Finding the Third Proportional to 200,709 and 310,058

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Solution

The third proportional to 200,709 and 310,058 is: 478,981.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,709 : 310,058 = 310,058 : x
  2. Step 2: Convert to fraction form
    200,709/310,058 = 310,058/x
  3. Step 3: Cross multiply
    200,709x = 310,058 × 310,058
  4. Step 4: Simplify right side
    200,709x = 96,135,963,364
  5. Step 5: Solve for x
    x = 96,135,963,364/200,709
  6. Step 6: Final answer
    x = 478,981.83

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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.