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Finding the Third Proportional to 216,468 and 316,323

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Solution

The third proportional to 216,468 and 316,323 is: 462,240.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,468 : 316,323 = 316,323 : x
  2. Step 2: Convert to fraction form
    216,468/316,323 = 316,323/x
  3. Step 3: Cross multiply
    216,468x = 316,323 × 316,323
  4. Step 4: Simplify right side
    216,468x = 100,060,240,329
  5. Step 5: Solve for x
    x = 100,060,240,329/216,468
  6. Step 6: Final answer
    x = 462,240.33

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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.