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Finding the Third Proportional to 438,454 and 942,178

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Solution

The third proportional to 438,454 and 942,178 is: 2,024,612.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,454 : 942,178 = 942,178 : x
  2. Step 2: Convert to fraction form
    438,454/942,178 = 942,178/x
  3. Step 3: Cross multiply
    438,454x = 942,178 × 942,178
  4. Step 4: Simplify right side
    438,454x = 887,699,383,684
  5. Step 5: Solve for x
    x = 887,699,383,684/438,454
  6. Step 6: Final answer
    x = 2,024,612.35

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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.