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Finding the Third Proportional to 409,090 and 875,037

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Solution

The third proportional to 409,090 and 875,037 is: 1,871,690.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,090 : 875,037 = 875,037 : x
  2. Step 2: Convert to fraction form
    409,090/875,037 = 875,037/x
  3. Step 3: Cross multiply
    409,090x = 875,037 × 875,037
  4. Step 4: Simplify right side
    409,090x = 765,689,751,369
  5. Step 5: Solve for x
    x = 765,689,751,369/409,090
  6. Step 6: Final answer
    x = 1,871,690.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.