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Finding the Third Proportional to 330,798 and 717,607

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Solution

The third proportional to 330,798 and 717,607 is: 1,556,719.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,798 : 717,607 = 717,607 : x
  2. Step 2: Convert to fraction form
    330,798/717,607 = 717,607/x
  3. Step 3: Cross multiply
    330,798x = 717,607 × 717,607
  4. Step 4: Simplify right side
    330,798x = 514,959,806,449
  5. Step 5: Solve for x
    x = 514,959,806,449/330,798
  6. Step 6: Final answer
    x = 1,556,719.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.