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Finding the Third Proportional to 148,537 and 309,313

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Solution

The third proportional to 148,537 and 309,313 is: 644,112.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,537 : 309,313 = 309,313 : x
  2. Step 2: Convert to fraction form
    148,537/309,313 = 309,313/x
  3. Step 3: Cross multiply
    148,537x = 309,313 × 309,313
  4. Step 4: Simplify right side
    148,537x = 95,674,531,969
  5. Step 5: Solve for x
    x = 95,674,531,969/148,537
  6. Step 6: Final answer
    x = 644,112.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.