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Finding the Third Proportional to 66,064 and 144,160

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Solution

The third proportional to 66,064 and 144,160 is: 314,575.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,064 : 144,160 = 144,160 : x
  2. Step 2: Convert to fraction form
    66,064/144,160 = 144,160/x
  3. Step 3: Cross multiply
    66,064x = 144,160 × 144,160
  4. Step 4: Simplify right side
    66,064x = 20,782,105,600
  5. Step 5: Solve for x
    x = 20,782,105,600/66,064
  6. Step 6: Final answer
    x = 314,575.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.