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Finding the Third Proportional to 439,372 and 657,546

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Solution

The third proportional to 439,372 and 657,546 is: 984,056.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,372 : 657,546 = 657,546 : x
  2. Step 2: Convert to fraction form
    439,372/657,546 = 657,546/x
  3. Step 3: Cross multiply
    439,372x = 657,546 × 657,546
  4. Step 4: Simplify right side
    439,372x = 432,366,742,116
  5. Step 5: Solve for x
    x = 432,366,742,116/439,372
  6. Step 6: Final answer
    x = 984,056.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.