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Finding the Third Proportional to 302,640 and 468,315

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Solution

The third proportional to 302,640 and 468,315 is: 724,685.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,640 : 468,315 = 468,315 : x
  2. Step 2: Convert to fraction form
    302,640/468,315 = 468,315/x
  3. Step 3: Cross multiply
    302,640x = 468,315 × 468,315
  4. Step 4: Simplify right side
    302,640x = 219,318,939,225
  5. Step 5: Solve for x
    x = 219,318,939,225/302,640
  6. Step 6: Final answer
    x = 724,685.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.