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Finding the Third Proportional to 438,437 and 942,142

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Solution

The third proportional to 438,437 and 942,142 is: 2,024,536.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,437 : 942,142 = 942,142 : x
  2. Step 2: Convert to fraction form
    438,437/942,142 = 942,142/x
  3. Step 3: Cross multiply
    438,437x = 942,142 × 942,142
  4. Step 4: Simplify right side
    438,437x = 887,631,548,164
  5. Step 5: Solve for x
    x = 887,631,548,164/438,437
  6. Step 6: Final answer
    x = 2,024,536.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.