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Finding the Third Proportional to 200,580 and 440,528

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Solution

The third proportional to 200,580 and 440,528 is: 967,518.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,580 : 440,528 = 440,528 : x
  2. Step 2: Convert to fraction form
    200,580/440,528 = 440,528/x
  3. Step 3: Cross multiply
    200,580x = 440,528 × 440,528
  4. Step 4: Simplify right side
    200,580x = 194,064,918,784
  5. Step 5: Solve for x
    x = 194,064,918,784/200,580
  6. Step 6: Final answer
    x = 967,518.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.