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Finding the Third Proportional to 421,308 and 901,665

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Solution

The third proportional to 421,308 and 901,665 is: 1,929,704.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,308 : 901,665 = 901,665 : x
  2. Step 2: Convert to fraction form
    421,308/901,665 = 901,665/x
  3. Step 3: Cross multiply
    421,308x = 901,665 × 901,665
  4. Step 4: Simplify right side
    421,308x = 812,999,772,225
  5. Step 5: Solve for x
    x = 812,999,772,225/421,308
  6. Step 6: Final answer
    x = 1,929,704.09

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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.