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Finding the Third Proportional to 290,393 and 435,590

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Solution

The third proportional to 290,393 and 435,590 is: 653,385.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,393 : 435,590 = 435,590 : x
  2. Step 2: Convert to fraction form
    290,393/435,590 = 435,590/x
  3. Step 3: Cross multiply
    290,393x = 435,590 × 435,590
  4. Step 4: Simplify right side
    290,393x = 189,738,648,100
  5. Step 5: Solve for x
    x = 189,738,648,100/290,393
  6. Step 6: Final answer
    x = 653,385.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.