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Finding the Third Proportional to 214,516 and 315,526

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Solution

The third proportional to 214,516 and 315,526 is: 464,098.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,516 : 315,526 = 315,526 : x
  2. Step 2: Convert to fraction form
    214,516/315,526 = 315,526/x
  3. Step 3: Cross multiply
    214,516x = 315,526 × 315,526
  4. Step 4: Simplify right side
    214,516x = 99,556,656,676
  5. Step 5: Solve for x
    x = 99,556,656,676/214,516
  6. Step 6: Final answer
    x = 464,098.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.