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Finding the Third Proportional to 290,472 and 435,690

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Solution

The third proportional to 290,472 and 435,690 is: 653,508.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,472 : 435,690 = 435,690 : x
  2. Step 2: Convert to fraction form
    290,472/435,690 = 435,690/x
  3. Step 3: Cross multiply
    290,472x = 435,690 × 435,690
  4. Step 4: Simplify right side
    290,472x = 189,825,776,100
  5. Step 5: Solve for x
    x = 189,825,776,100/290,472
  6. Step 6: Final answer
    x = 653,508.00

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