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Finding the Third Proportional to 291,639 and 417,045

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Solution

The third proportional to 291,639 and 417,045 is: 596,376.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,639 : 417,045 = 417,045 : x
  2. Step 2: Convert to fraction form
    291,639/417,045 = 417,045/x
  3. Step 3: Cross multiply
    291,639x = 417,045 × 417,045
  4. Step 4: Simplify right side
    291,639x = 173,926,532,025
  5. Step 5: Solve for x
    x = 173,926,532,025/291,639
  6. Step 6: Final answer
    x = 596,376.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.