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Finding the Third Proportional to 271,657 and 430,062

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Solution

The third proportional to 271,657 and 430,062 is: 680,834.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,657 : 430,062 = 430,062 : x
  2. Step 2: Convert to fraction form
    271,657/430,062 = 430,062/x
  3. Step 3: Cross multiply
    271,657x = 430,062 × 430,062
  4. Step 4: Simplify right side
    271,657x = 184,953,323,844
  5. Step 5: Solve for x
    x = 184,953,323,844/271,657
  6. Step 6: Final answer
    x = 680,834.01

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.