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Finding the Third Proportional to 595,336 and 894,345

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Solution

The third proportional to 595,336 and 894,345 is: 1,343,532.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,336 : 894,345 = 894,345 : x
  2. Step 2: Convert to fraction form
    595,336/894,345 = 894,345/x
  3. Step 3: Cross multiply
    595,336x = 894,345 × 894,345
  4. Step 4: Simplify right side
    595,336x = 799,852,979,025
  5. Step 5: Solve for x
    x = 799,852,979,025/595,336
  6. Step 6: Final answer
    x = 1,343,532.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.