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Finding the Third Proportional to 72,130 and 157,370

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Solution

The third proportional to 72,130 and 157,370 is: 343,342.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,130 : 157,370 = 157,370 : x
  2. Step 2: Convert to fraction form
    72,130/157,370 = 157,370/x
  3. Step 3: Cross multiply
    72,130x = 157,370 × 157,370
  4. Step 4: Simplify right side
    72,130x = 24,765,316,900
  5. Step 5: Solve for x
    x = 24,765,316,900/72,130
  6. Step 6: Final answer
    x = 343,342.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.