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Finding the Third Proportional to 345,213 and 466,405

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Solution

The third proportional to 345,213 and 466,405 is: 630,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,213 : 466,405 = 466,405 : x
  2. Step 2: Convert to fraction form
    345,213/466,405 = 466,405/x
  3. Step 3: Cross multiply
    345,213x = 466,405 × 466,405
  4. Step 4: Simplify right side
    345,213x = 217,533,624,025
  5. Step 5: Solve for x
    x = 217,533,624,025/345,213
  6. Step 6: Final answer
    x = 630,143.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.