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Finding the Third Proportional to 342,669.88 and 742,543.63

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Solution

The third proportional to 342,669.88 and 742,543.63 is: 1,609,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,669.88 : 742,543.63 = 742,543.63 : x
  2. Step 2: Convert to fraction form
    342,669.88/742,543.63 = 742,543.63/x
  3. Step 3: Cross multiply
    342,669.88x = 742,543.63 × 742,543.63
  4. Step 4: Simplify right side
    342,669.88x = 551,371,035,028.14
  5. Step 5: Solve for x
    x = 551,371,035,028.14/342,669.88
  6. Step 6: Final answer
    x = 1,609,044.38

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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.