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Finding the Third Proportional to 156,130 and 368,445

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Solution

The third proportional to 156,130 and 368,445 is: 869,478.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,130 : 368,445 = 368,445 : x
  2. Step 2: Convert to fraction form
    156,130/368,445 = 368,445/x
  3. Step 3: Cross multiply
    156,130x = 368,445 × 368,445
  4. Step 4: Simplify right side
    156,130x = 135,751,718,025
  5. Step 5: Solve for x
    x = 135,751,718,025/156,130
  6. Step 6: Final answer
    x = 869,478.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.