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Finding the Third Proportional to 216,462.75 and 316,315.13

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Solution

The third proportional to 216,462.75 and 316,315.13 is: 462,228.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,462.75 : 316,315.13 = 316,315.13 : x
  2. Step 2: Convert to fraction form
    216,462.75/316,315.13 = 316,315.13/x
  3. Step 3: Cross multiply
    216,462.75x = 316,315.13 × 316,315.13
  4. Step 4: Simplify right side
    216,462.75x = 100,055,258,303.77
  5. Step 5: Solve for x
    x = 100,055,258,303.77/216,462.75
  6. Step 6: Final answer
    x = 462,228.53

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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.