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Finding the Third Proportional to 264,082 and 390,299

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Solution

The third proportional to 264,082 and 390,299 is: 576,840.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,082 : 390,299 = 390,299 : x
  2. Step 2: Convert to fraction form
    264,082/390,299 = 390,299/x
  3. Step 3: Cross multiply
    264,082x = 390,299 × 390,299
  4. Step 4: Simplify right side
    264,082x = 152,333,309,401
  5. Step 5: Solve for x
    x = 152,333,309,401/264,082
  6. Step 6: Final answer
    x = 576,840.94

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.