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Finding the Third Proportional to 642,911.50 and 1,400,114

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Solution

The third proportional to 642,911.50 and 1,400,114 is: 3,049,127.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,911.50 : 1,400,114 = 1,400,114 : x
  2. Step 2: Convert to fraction form
    642,911.50/1,400,114 = 1,400,114/x
  3. Step 3: Cross multiply
    642,911.50x = 1,400,114 × 1,400,114
  4. Step 4: Simplify right side
    642,911.50x = 1,960,319,212,996
  5. Step 5: Solve for x
    x = 1,960,319,212,996/642,911.50
  6. Step 6: Final answer
    x = 3,049,127.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.