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Finding the Third Proportional to 149,015 and 290,537

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Solution

The third proportional to 149,015 and 290,537 is: 566,464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,015 : 290,537 = 290,537 : x
  2. Step 2: Convert to fraction form
    149,015/290,537 = 290,537/x
  3. Step 3: Cross multiply
    149,015x = 290,537 × 290,537
  4. Step 4: Simplify right side
    149,015x = 84,411,748,369
  5. Step 5: Solve for x
    x = 84,411,748,369/149,015
  6. Step 6: Final answer
    x = 566,464.77

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.