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Finding the Third Proportional to 200,721 and 310,076

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Solution

The third proportional to 200,721 and 310,076 is: 479,008.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,721 : 310,076 = 310,076 : x
  2. Step 2: Convert to fraction form
    200,721/310,076 = 310,076/x
  3. Step 3: Cross multiply
    200,721x = 310,076 × 310,076
  4. Step 4: Simplify right side
    200,721x = 96,147,125,776
  5. Step 5: Solve for x
    x = 96,147,125,776/200,721
  6. Step 6: Final answer
    x = 479,008.80

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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.