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Finding the Third Proportional to 411,848 and 902,424

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Solution

The third proportional to 411,848 and 902,424 is: 1,977,353.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,848 : 902,424 = 902,424 : x
  2. Step 2: Convert to fraction form
    411,848/902,424 = 902,424/x
  3. Step 3: Cross multiply
    411,848x = 902,424 × 902,424
  4. Step 4: Simplify right side
    411,848x = 814,369,075,776
  5. Step 5: Solve for x
    x = 814,369,075,776/411,848
  6. Step 6: Final answer
    x = 1,977,353.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.