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Finding the Third Proportional to 289,672 and 424,138

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Solution

The third proportional to 289,672 and 424,138 is: 621,023.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,672 : 424,138 = 424,138 : x
  2. Step 2: Convert to fraction form
    289,672/424,138 = 424,138/x
  3. Step 3: Cross multiply
    289,672x = 424,138 × 424,138
  4. Step 4: Simplify right side
    289,672x = 179,893,043,044
  5. Step 5: Solve for x
    x = 179,893,043,044/289,672
  6. Step 6: Final answer
    x = 621,023.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.