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Finding the Third Proportional to 423,931 and 909,281

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Solution

The third proportional to 423,931 and 909,281 is: 1,950,298.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,931 : 909,281 = 909,281 : x
  2. Step 2: Convert to fraction form
    423,931/909,281 = 909,281/x
  3. Step 3: Cross multiply
    423,931x = 909,281 × 909,281
  4. Step 4: Simplify right side
    423,931x = 826,791,936,961
  5. Step 5: Solve for x
    x = 826,791,936,961/423,931
  6. Step 6: Final answer
    x = 1,950,298.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.