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Finding the Third Proportional to 428,076 and 922,377

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Solution

The third proportional to 428,076 and 922,377 is: 1,987,449.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,076 : 922,377 = 922,377 : x
  2. Step 2: Convert to fraction form
    428,076/922,377 = 922,377/x
  3. Step 3: Cross multiply
    428,076x = 922,377 × 922,377
  4. Step 4: Simplify right side
    428,076x = 850,779,330,129
  5. Step 5: Solve for x
    x = 850,779,330,129/428,076
  6. Step 6: Final answer
    x = 1,987,449.26

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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.