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Finding the Third Proportional to 459,077 and 688,619

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Solution

The third proportional to 459,077 and 688,619 is: 1,032,933.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,077 : 688,619 = 688,619 : x
  2. Step 2: Convert to fraction form
    459,077/688,619 = 688,619/x
  3. Step 3: Cross multiply
    459,077x = 688,619 × 688,619
  4. Step 4: Simplify right side
    459,077x = 474,196,127,161
  5. Step 5: Solve for x
    x = 474,196,127,161/459,077
  6. Step 6: Final answer
    x = 1,032,933.75

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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.