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Finding the Third Proportional to 411,841.50 and 902,415

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Solution

The third proportional to 411,841.50 and 902,415 is: 1,977,345.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,841.50 : 902,415 = 902,415 : x
  2. Step 2: Convert to fraction form
    411,841.50/902,415 = 902,415/x
  3. Step 3: Cross multiply
    411,841.50x = 902,415 × 902,415
  4. Step 4: Simplify right side
    411,841.50x = 814,352,832,225
  5. Step 5: Solve for x
    x = 814,352,832,225/411,841.50
  6. Step 6: Final answer
    x = 1,977,345.25

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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.