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Finding the Third Proportional to 173,428 and 374,718

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Solution

The third proportional to 173,428 and 374,718 is: 809,636.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,428 : 374,718 = 374,718 : x
  2. Step 2: Convert to fraction form
    173,428/374,718 = 374,718/x
  3. Step 3: Cross multiply
    173,428x = 374,718 × 374,718
  4. Step 4: Simplify right side
    173,428x = 140,413,579,524
  5. Step 5: Solve for x
    x = 140,413,579,524/173,428
  6. Step 6: Final answer
    x = 809,636.16

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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.