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Finding the Third Proportional to 151,490 and 326,236

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Solution

The third proportional to 151,490 and 326,236 is: 702,554.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,490 : 326,236 = 326,236 : x
  2. Step 2: Convert to fraction form
    151,490/326,236 = 326,236/x
  3. Step 3: Cross multiply
    151,490x = 326,236 × 326,236
  4. Step 4: Simplify right side
    151,490x = 106,429,927,696
  5. Step 5: Solve for x
    x = 106,429,927,696/151,490
  6. Step 6: Final answer
    x = 702,554.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.