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Finding the Third Proportional to 282,216 and 432,315

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Solution

The third proportional to 282,216 and 432,315 is: 662,245.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,216 : 432,315 = 432,315 : x
  2. Step 2: Convert to fraction form
    282,216/432,315 = 432,315/x
  3. Step 3: Cross multiply
    282,216x = 432,315 × 432,315
  4. Step 4: Simplify right side
    282,216x = 186,896,259,225
  5. Step 5: Solve for x
    x = 186,896,259,225/282,216
  6. Step 6: Final answer
    x = 662,245.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.