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Finding the Third Proportional to 189,484 and 409,328

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Solution

The third proportional to 189,484 and 409,328 is: 884,240.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,484 : 409,328 = 409,328 : x
  2. Step 2: Convert to fraction form
    189,484/409,328 = 409,328/x
  3. Step 3: Cross multiply
    189,484x = 409,328 × 409,328
  4. Step 4: Simplify right side
    189,484x = 167,549,411,584
  5. Step 5: Solve for x
    x = 167,549,411,584/189,484
  6. Step 6: Final answer
    x = 884,240.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.