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Finding the Third Proportional to 459,043 and 688,564

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Solution

The third proportional to 459,043 and 688,564 is: 1,032,845.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,043 : 688,564 = 688,564 : x
  2. Step 2: Convert to fraction form
    459,043/688,564 = 688,564/x
  3. Step 3: Cross multiply
    459,043x = 688,564 × 688,564
  4. Step 4: Simplify right side
    459,043x = 474,120,382,096
  5. Step 5: Solve for x
    x = 474,120,382,096/459,043
  6. Step 6: Final answer
    x = 1,032,845.25

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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.