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Finding the Third Proportional to 260,070 and 408,076

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Solution

The third proportional to 260,070 and 408,076 is: 640,312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,070 : 408,076 = 408,076 : x
  2. Step 2: Convert to fraction form
    260,070/408,076 = 408,076/x
  3. Step 3: Cross multiply
    260,070x = 408,076 × 408,076
  4. Step 4: Simplify right side
    260,070x = 166,526,021,776
  5. Step 5: Solve for x
    x = 166,526,021,776/260,070
  6. Step 6: Final answer
    x = 640,312.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.