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Finding the Third Proportional to 148,490 and 323,787

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Solution

The third proportional to 148,490 and 323,787 is: 706,027.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,490 : 323,787 = 323,787 : x
  2. Step 2: Convert to fraction form
    148,490/323,787 = 323,787/x
  3. Step 3: Cross multiply
    148,490x = 323,787 × 323,787
  4. Step 4: Simplify right side
    148,490x = 104,838,021,369
  5. Step 5: Solve for x
    x = 104,838,021,369/148,490
  6. Step 6: Final answer
    x = 706,027.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.