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Finding the Third Proportional to 315,368 and 471,816

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Solution

The third proportional to 315,368 and 471,816 is: 705,874.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,368 : 471,816 = 471,816 : x
  2. Step 2: Convert to fraction form
    315,368/471,816 = 471,816/x
  3. Step 3: Cross multiply
    315,368x = 471,816 × 471,816
  4. Step 4: Simplify right side
    315,368x = 222,610,337,856
  5. Step 5: Solve for x
    x = 222,610,337,856/315,368
  6. Step 6: Final answer
    x = 705,874.84

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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.