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Finding the Third Proportional to 148,672 and 219,072

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Solution

The third proportional to 148,672 and 219,072 is: 322,808.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,672 : 219,072 = 219,072 : x
  2. Step 2: Convert to fraction form
    148,672/219,072 = 219,072/x
  3. Step 3: Cross multiply
    148,672x = 219,072 × 219,072
  4. Step 4: Simplify right side
    148,672x = 47,992,541,184
  5. Step 5: Solve for x
    x = 47,992,541,184/148,672
  6. Step 6: Final answer
    x = 322,808.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.