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Finding the Third Proportional to 342,786 and 742,778

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Solution

The third proportional to 342,786 and 742,778 is: 1,609,514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,786 : 742,778 = 742,778 : x
  2. Step 2: Convert to fraction form
    342,786/742,778 = 742,778/x
  3. Step 3: Cross multiply
    342,786x = 742,778 × 742,778
  4. Step 4: Simplify right side
    342,786x = 551,719,157,284
  5. Step 5: Solve for x
    x = 551,719,157,284/342,786
  6. Step 6: Final answer
    x = 1,609,514.85

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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.