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Finding the Third Proportional to 151,243 and 326,056

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Solution

The third proportional to 151,243 and 326,056 is: 702,925.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,243 : 326,056 = 326,056 : x
  2. Step 2: Convert to fraction form
    151,243/326,056 = 326,056/x
  3. Step 3: Cross multiply
    151,243x = 326,056 × 326,056
  4. Step 4: Simplify right side
    151,243x = 106,312,515,136
  5. Step 5: Solve for x
    x = 106,312,515,136/151,243
  6. Step 6: Final answer
    x = 702,925.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.