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Finding the Third Proportional to 576,158 and 829,918

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Solution

The third proportional to 576,158 and 829,918 is: 1,195,442.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,158 : 829,918 = 829,918 : x
  2. Step 2: Convert to fraction form
    576,158/829,918 = 829,918/x
  3. Step 3: Cross multiply
    576,158x = 829,918 × 829,918
  4. Step 4: Simplify right side
    576,158x = 688,763,886,724
  5. Step 5: Solve for x
    x = 688,763,886,724/576,158
  6. Step 6: Final answer
    x = 1,195,442.72

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.