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Finding the Third Proportional to 315,173 and 471,646

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Solution

The third proportional to 315,173 and 471,646 is: 705,802.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,173 : 471,646 = 471,646 : x
  2. Step 2: Convert to fraction form
    315,173/471,646 = 471,646/x
  3. Step 3: Cross multiply
    315,173x = 471,646 × 471,646
  4. Step 4: Simplify right side
    315,173x = 222,449,949,316
  5. Step 5: Solve for x
    x = 222,449,949,316/315,173
  6. Step 6: Final answer
    x = 705,802.68

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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.