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Finding the Third Proportional to 342,984 and 742,992

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Solution

The third proportional to 342,984 and 742,992 is: 1,609,512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,984 : 742,992 = 742,992 : x
  2. Step 2: Convert to fraction form
    342,984/742,992 = 742,992/x
  3. Step 3: Cross multiply
    342,984x = 742,992 × 742,992
  4. Step 4: Simplify right side
    342,984x = 552,037,112,064
  5. Step 5: Solve for x
    x = 552,037,112,064/342,984
  6. Step 6: Final answer
    x = 1,609,512.72

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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.