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Finding the Third Proportional to 216,157 and 345,317

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Solution

The third proportional to 216,157 and 345,317 is: 551,653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,157 : 345,317 = 345,317 : x
  2. Step 2: Convert to fraction form
    216,157/345,317 = 345,317/x
  3. Step 3: Cross multiply
    216,157x = 345,317 × 345,317
  4. Step 4: Simplify right side
    216,157x = 119,243,830,489
  5. Step 5: Solve for x
    x = 119,243,830,489/216,157
  6. Step 6: Final answer
    x = 551,653.80

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.