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Finding the Third Proportional to 144,064 and 299,680

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Solution

The third proportional to 144,064 and 299,680 is: 623,390.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,064 : 299,680 = 299,680 : x
  2. Step 2: Convert to fraction form
    144,064/299,680 = 299,680/x
  3. Step 3: Cross multiply
    144,064x = 299,680 × 299,680
  4. Step 4: Simplify right side
    144,064x = 89,808,102,400
  5. Step 5: Solve for x
    x = 89,808,102,400/144,064
  6. Step 6: Final answer
    x = 623,390.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.