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Finding the Third Proportional to 72,038 and 157,072

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Solution

The third proportional to 72,038 and 157,072 is: 342,480.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,038 : 157,072 = 157,072 : x
  2. Step 2: Convert to fraction form
    72,038/157,072 = 157,072/x
  3. Step 3: Cross multiply
    72,038x = 157,072 × 157,072
  4. Step 4: Simplify right side
    72,038x = 24,671,613,184
  5. Step 5: Solve for x
    x = 24,671,613,184/72,038
  6. Step 6: Final answer
    x = 342,480.54

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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.