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Finding the Third Proportional to 211,528 and 476,320

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Solution

The third proportional to 211,528 and 476,320 is: 1,072,580.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,528 : 476,320 = 476,320 : x
  2. Step 2: Convert to fraction form
    211,528/476,320 = 476,320/x
  3. Step 3: Cross multiply
    211,528x = 476,320 × 476,320
  4. Step 4: Simplify right side
    211,528x = 226,880,742,400
  5. Step 5: Solve for x
    x = 226,880,742,400/211,528
  6. Step 6: Final answer
    x = 1,072,580.19

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.