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Finding the Third Proportional to 216,318 and 462,528

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Solution

The third proportional to 216,318 and 462,528 is: 988,970.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,318 : 462,528 = 462,528 : x
  2. Step 2: Convert to fraction form
    216,318/462,528 = 462,528/x
  3. Step 3: Cross multiply
    216,318x = 462,528 × 462,528
  4. Step 4: Simplify right side
    216,318x = 213,932,150,784
  5. Step 5: Solve for x
    x = 213,932,150,784/216,318
  6. Step 6: Final answer
    x = 988,970.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.