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Finding the Third Proportional to 370,080 and 721,728

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Solution

The third proportional to 370,080 and 721,728 is: 1,407,510.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,080 : 721,728 = 721,728 : x
  2. Step 2: Convert to fraction form
    370,080/721,728 = 721,728/x
  3. Step 3: Cross multiply
    370,080x = 721,728 × 721,728
  4. Step 4: Simplify right side
    370,080x = 520,891,305,984
  5. Step 5: Solve for x
    x = 520,891,305,984/370,080
  6. Step 6: Final answer
    x = 1,407,510.01

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.