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Finding the Third Proportional to 85,428 and 172,638

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Solution

The third proportional to 85,428 and 172,638 is: 348,877.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,428 : 172,638 = 172,638 : x
  2. Step 2: Convert to fraction form
    85,428/172,638 = 172,638/x
  3. Step 3: Cross multiply
    85,428x = 172,638 × 172,638
  4. Step 4: Simplify right side
    85,428x = 29,803,879,044
  5. Step 5: Solve for x
    x = 29,803,879,044/85,428
  6. Step 6: Final answer
    x = 348,877.17

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.