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Finding the Third Proportional to 290,416 and 435,606

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Solution

The third proportional to 290,416 and 435,606 is: 653,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,416 : 435,606 = 435,606 : x
  2. Step 2: Convert to fraction form
    290,416/435,606 = 435,606/x
  3. Step 3: Cross multiply
    290,416x = 435,606 × 435,606
  4. Step 4: Simplify right side
    290,416x = 189,752,587,236
  5. Step 5: Solve for x
    x = 189,752,587,236/290,416
  6. Step 6: Final answer
    x = 653,382.00

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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.