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Finding the Third Proportional to 216,651 and 316,953.75

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Solution

The third proportional to 216,651 and 316,953.75 is: 463,693.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,651 : 316,953.75 = 316,953.75 : x
  2. Step 2: Convert to fraction form
    216,651/316,953.75 = 316,953.75/x
  3. Step 3: Cross multiply
    216,651x = 316,953.75 × 316,953.75
  4. Step 4: Simplify right side
    216,651x = 100,459,679,639.06
  5. Step 5: Solve for x
    x = 100,459,679,639.06/216,651
  6. Step 6: Final answer
    x = 463,693.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.