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Finding the Third Proportional to 216,130 and 471,248

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Solution

The third proportional to 216,130 and 471,248 is: 1,027,505.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,130 : 471,248 = 471,248 : x
  2. Step 2: Convert to fraction form
    216,130/471,248 = 471,248/x
  3. Step 3: Cross multiply
    216,130x = 471,248 × 471,248
  4. Step 4: Simplify right side
    216,130x = 222,074,677,504
  5. Step 5: Solve for x
    x = 222,074,677,504/216,130
  6. Step 6: Final answer
    x = 1,027,505.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.