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Finding the Third Proportional to 184,423 and 405,428

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Solution

The third proportional to 184,423 and 405,428 is: 891,276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,423 : 405,428 = 405,428 : x
  2. Step 2: Convert to fraction form
    184,423/405,428 = 405,428/x
  3. Step 3: Cross multiply
    184,423x = 405,428 × 405,428
  4. Step 4: Simplify right side
    184,423x = 164,371,863,184
  5. Step 5: Solve for x
    x = 164,371,863,184/184,423
  6. Step 6: Final answer
    x = 891,276.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.