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Finding the Third Proportional to 420,000 and 648,576

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Solution

The third proportional to 420,000 and 648,576 is: 1,001,549.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,000 : 648,576 = 648,576 : x
  2. Step 2: Convert to fraction form
    420,000/648,576 = 648,576/x
  3. Step 3: Cross multiply
    420,000x = 648,576 × 648,576
  4. Step 4: Simplify right side
    420,000x = 420,650,827,776
  5. Step 5: Solve for x
    x = 420,650,827,776/420,000
  6. Step 6: Final answer
    x = 1,001,549.59

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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.