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Finding the Third Proportional to 216,046 and 316,772

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Solution

The third proportional to 216,046 and 316,772 is: 464,458.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,046 : 316,772 = 316,772 : x
  2. Step 2: Convert to fraction form
    216,046/316,772 = 316,772/x
  3. Step 3: Cross multiply
    216,046x = 316,772 × 316,772
  4. Step 4: Simplify right side
    216,046x = 100,344,499,984
  5. Step 5: Solve for x
    x = 100,344,499,984/216,046
  6. Step 6: Final answer
    x = 464,458.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.