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Finding the Third Proportional to 709,380 and 1,556,721

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Solution

The third proportional to 709,380 and 1,556,721 is: 3,416,194.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,380 : 1,556,721 = 1,556,721 : x
  2. Step 2: Convert to fraction form
    709,380/1,556,721 = 1,556,721/x
  3. Step 3: Cross multiply
    709,380x = 1,556,721 × 1,556,721
  4. Step 4: Simplify right side
    709,380x = 2,423,380,271,841
  5. Step 5: Solve for x
    x = 2,423,380,271,841/709,380
  6. Step 6: Final answer
    x = 3,416,194.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.