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Finding the Third Proportional to 120,064 and 260,480

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Solution

The third proportional to 120,064 and 260,480 is: 565,113.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,064 : 260,480 = 260,480 : x
  2. Step 2: Convert to fraction form
    120,064/260,480 = 260,480/x
  3. Step 3: Cross multiply
    120,064x = 260,480 × 260,480
  4. Step 4: Simplify right side
    120,064x = 67,849,830,400
  5. Step 5: Solve for x
    x = 67,849,830,400/120,064
  6. Step 6: Final answer
    x = 565,113.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.