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Finding the Third Proportional to 317,365 and 463,889

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Solution

The third proportional to 317,365 and 463,889 is: 678,061.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,365 : 463,889 = 463,889 : x
  2. Step 2: Convert to fraction form
    317,365/463,889 = 463,889/x
  3. Step 3: Cross multiply
    317,365x = 463,889 × 463,889
  4. Step 4: Simplify right side
    317,365x = 215,193,004,321
  5. Step 5: Solve for x
    x = 215,193,004,321/317,365
  6. Step 6: Final answer
    x = 678,061.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.