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Finding the Third Proportional to 411,848 and 902,428

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Solution

The third proportional to 411,848 and 902,428 is: 1,977,371.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,848 : 902,428 = 902,428 : x
  2. Step 2: Convert to fraction form
    411,848/902,428 = 902,428/x
  3. Step 3: Cross multiply
    411,848x = 902,428 × 902,428
  4. Step 4: Simplify right side
    411,848x = 814,376,295,184
  5. Step 5: Solve for x
    x = 814,376,295,184/411,848
  6. Step 6: Final answer
    x = 1,977,371.01

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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.