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Finding the Third Proportional to 290,389 and 435,584

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Solution

The third proportional to 290,389 and 435,584 is: 653,376.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,389 : 435,584 = 435,584 : x
  2. Step 2: Convert to fraction form
    290,389/435,584 = 435,584/x
  3. Step 3: Cross multiply
    290,389x = 435,584 × 435,584
  4. Step 4: Simplify right side
    290,389x = 189,733,421,056
  5. Step 5: Solve for x
    x = 189,733,421,056/290,389
  6. Step 6: Final answer
    x = 653,376.75

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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.