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Finding the Third Proportional to 343,312 and 717,984

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Solution

The third proportional to 343,312 and 717,984 is: 1,501,552.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,312 : 717,984 = 717,984 : x
  2. Step 2: Convert to fraction form
    343,312/717,984 = 717,984/x
  3. Step 3: Cross multiply
    343,312x = 717,984 × 717,984
  4. Step 4: Simplify right side
    343,312x = 515,501,024,256
  5. Step 5: Solve for x
    x = 515,501,024,256/343,312
  6. Step 6: Final answer
    x = 1,501,552.59

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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.