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Finding the Third Proportional to 260,871 and 412,323

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Solution

The third proportional to 260,871 and 412,323 is: 651,702.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,871 : 412,323 = 412,323 : x
  2. Step 2: Convert to fraction form
    260,871/412,323 = 412,323/x
  3. Step 3: Cross multiply
    260,871x = 412,323 × 412,323
  4. Step 4: Simplify right side
    260,871x = 170,010,256,329
  5. Step 5: Solve for x
    x = 170,010,256,329/260,871
  6. Step 6: Final answer
    x = 651,702.40

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.