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Finding the Third Proportional to 421,962.75 and 904,203

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Solution

The third proportional to 421,962.75 and 904,203 is: 1,937,571.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,962.75 : 904,203 = 904,203 : x
  2. Step 2: Convert to fraction form
    421,962.75/904,203 = 904,203/x
  3. Step 3: Cross multiply
    421,962.75x = 904,203 × 904,203
  4. Step 4: Simplify right side
    421,962.75x = 817,583,065,209
  5. Step 5: Solve for x
    x = 817,583,065,209/421,962.75
  6. Step 6: Final answer
    x = 1,937,571.66

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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.