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Finding the Third Proportional to 342,012 and 742,437

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Solution

The third proportional to 342,012 and 742,437 is: 1,611,676.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,012 : 742,437 = 742,437 : x
  2. Step 2: Convert to fraction form
    342,012/742,437 = 742,437/x
  3. Step 3: Cross multiply
    342,012x = 742,437 × 742,437
  4. Step 4: Simplify right side
    342,012x = 551,212,698,969
  5. Step 5: Solve for x
    x = 551,212,698,969/342,012
  6. Step 6: Final answer
    x = 1,611,676.49

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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.