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Finding the Third Proportional to 172,638 and 376,658

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Solution

The third proportional to 172,638 and 376,658 is: 821,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,638 : 376,658 = 376,658 : x
  2. Step 2: Convert to fraction form
    172,638/376,658 = 376,658/x
  3. Step 3: Cross multiply
    172,638x = 376,658 × 376,658
  4. Step 4: Simplify right side
    172,638x = 141,871,248,964
  5. Step 5: Solve for x
    x = 141,871,248,964/172,638
  6. Step 6: Final answer
    x = 821,784.60

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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.