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Finding the Third Proportional to 317,175 and 463,854

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Solution

The third proportional to 317,175 and 463,854 is: 678,365.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,175 : 463,854 = 463,854 : x
  2. Step 2: Convert to fraction form
    317,175/463,854 = 463,854/x
  3. Step 3: Cross multiply
    317,175x = 463,854 × 463,854
  4. Step 4: Simplify right side
    317,175x = 215,160,533,316
  5. Step 5: Solve for x
    x = 215,160,533,316/317,175
  6. Step 6: Final answer
    x = 678,365.36

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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.