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Finding the Third Proportional to 2,143,071 and 2,918,457

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Solution

The third proportional to 2,143,071 and 2,918,457 is: 3,974,385.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,071 : 2,918,457 = 2,918,457 : x
  2. Step 2: Convert to fraction form
    2,143,071/2,918,457 = 2,918,457/x
  3. Step 3: Cross multiply
    2,143,071x = 2,918,457 × 2,918,457
  4. Step 4: Simplify right side
    2,143,071x = 8,517,391,260,849
  5. Step 5: Solve for x
    x = 8,517,391,260,849/2,143,071
  6. Step 6: Final answer
    x = 3,974,385.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.