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Finding the Third Proportional to 149,030 and 290,590

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Solution

The third proportional to 149,030 and 290,590 is: 566,614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,030 : 290,590 = 290,590 : x
  2. Step 2: Convert to fraction form
    149,030/290,590 = 290,590/x
  3. Step 3: Cross multiply
    149,030x = 290,590 × 290,590
  4. Step 4: Simplify right side
    149,030x = 84,442,548,100
  5. Step 5: Solve for x
    x = 84,442,548,100/149,030
  6. Step 6: Final answer
    x = 566,614.43

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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.