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Finding the Third Proportional to 343,251 and 710,370

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Solution

The third proportional to 343,251 and 710,370 is: 1,470,135.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,251 : 710,370 = 710,370 : x
  2. Step 2: Convert to fraction form
    343,251/710,370 = 710,370/x
  3. Step 3: Cross multiply
    343,251x = 710,370 × 710,370
  4. Step 4: Simplify right side
    343,251x = 504,625,536,900
  5. Step 5: Solve for x
    x = 504,625,536,900/343,251
  6. Step 6: Final answer
    x = 1,470,135.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.