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Finding the Third Proportional to 343,416 and 718,179

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Solution

The third proportional to 343,416 and 718,179 is: 1,501,913.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,416 : 718,179 = 718,179 : x
  2. Step 2: Convert to fraction form
    343,416/718,179 = 718,179/x
  3. Step 3: Cross multiply
    343,416x = 718,179 × 718,179
  4. Step 4: Simplify right side
    343,416x = 515,781,076,041
  5. Step 5: Solve for x
    x = 515,781,076,041/343,416
  6. Step 6: Final answer
    x = 1,501,913.35

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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.