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Finding the Third Proportional to 343,376 and 718,118

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Solution

The third proportional to 343,376 and 718,118 is: 1,501,833.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,376 : 718,118 = 718,118 : x
  2. Step 2: Convert to fraction form
    343,376/718,118 = 718,118/x
  3. Step 3: Cross multiply
    343,376x = 718,118 × 718,118
  4. Step 4: Simplify right side
    343,376x = 515,693,461,924
  5. Step 5: Solve for x
    x = 515,693,461,924/343,376
  6. Step 6: Final answer
    x = 1,501,833.16

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.