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Finding the Third Proportional to 290,328.75 and 426,951

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Solution

The third proportional to 290,328.75 and 426,951 is: 627,864.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,328.75 : 426,951 = 426,951 : x
  2. Step 2: Convert to fraction form
    290,328.75/426,951 = 426,951/x
  3. Step 3: Cross multiply
    290,328.75x = 426,951 × 426,951
  4. Step 4: Simplify right side
    290,328.75x = 182,287,156,401
  5. Step 5: Solve for x
    x = 182,287,156,401/290,328.75
  6. Step 6: Final answer
    x = 627,864.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.