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Finding the Third Proportional to 70,229 and 130,495

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Solution

The third proportional to 70,229 and 130,495 is: 242,477.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,229 : 130,495 = 130,495 : x
  2. Step 2: Convert to fraction form
    70,229/130,495 = 130,495/x
  3. Step 3: Cross multiply
    70,229x = 130,495 × 130,495
  4. Step 4: Simplify right side
    70,229x = 17,028,945,025
  5. Step 5: Solve for x
    x = 17,028,945,025/70,229
  6. Step 6: Final answer
    x = 242,477.40

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.