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Finding the Third Proportional to 375,330 and 553,065

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Solution

The third proportional to 375,330 and 553,065 is: 814,965.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,330 : 553,065 = 553,065 : x
  2. Step 2: Convert to fraction form
    375,330/553,065 = 553,065/x
  3. Step 3: Cross multiply
    375,330x = 553,065 × 553,065
  4. Step 4: Simplify right side
    375,330x = 305,880,894,225
  5. Step 5: Solve for x
    x = 305,880,894,225/375,330
  6. Step 6: Final answer
    x = 814,965.22

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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.