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Finding the Third Proportional to 147,725 and 215,130

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Solution

The third proportional to 147,725 and 215,130 is: 313,291.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,725 : 215,130 = 215,130 : x
  2. Step 2: Convert to fraction form
    147,725/215,130 = 215,130/x
  3. Step 3: Cross multiply
    147,725x = 215,130 × 215,130
  4. Step 4: Simplify right side
    147,725x = 46,280,916,900
  5. Step 5: Solve for x
    x = 46,280,916,900/147,725
  6. Step 6: Final answer
    x = 313,291.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.