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Finding the Third Proportional to 399,753 and 607,815

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Solution

The third proportional to 399,753 and 607,815 is: 924,168.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,753 : 607,815 = 607,815 : x
  2. Step 2: Convert to fraction form
    399,753/607,815 = 607,815/x
  3. Step 3: Cross multiply
    399,753x = 607,815 × 607,815
  4. Step 4: Simplify right side
    399,753x = 369,439,074,225
  5. Step 5: Solve for x
    x = 369,439,074,225/399,753
  6. Step 6: Final answer
    x = 924,168.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.