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Finding the Third Proportional to 172,816 and 351,776

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Solution

The third proportional to 172,816 and 351,776 is: 716,058.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,816 : 351,776 = 351,776 : x
  2. Step 2: Convert to fraction form
    172,816/351,776 = 351,776/x
  3. Step 3: Cross multiply
    172,816x = 351,776 × 351,776
  4. Step 4: Simplify right side
    172,816x = 123,746,354,176
  5. Step 5: Solve for x
    x = 123,746,354,176/172,816
  6. Step 6: Final answer
    x = 716,058.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.