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Finding the Third Proportional to 355,024 and 778,897

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Solution

The third proportional to 355,024 and 778,897 is: 1,708,843.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,024 : 778,897 = 778,897 : x
  2. Step 2: Convert to fraction form
    355,024/778,897 = 778,897/x
  3. Step 3: Cross multiply
    355,024x = 778,897 × 778,897
  4. Step 4: Simplify right side
    355,024x = 606,680,536,609
  5. Step 5: Solve for x
    x = 606,680,536,609/355,024
  6. Step 6: Final answer
    x = 1,708,843.73

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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.