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Finding the Third Proportional to 147,038 and 318,964

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Solution

The third proportional to 147,038 and 318,964 is: 691,916.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,038 : 318,964 = 318,964 : x
  2. Step 2: Convert to fraction form
    147,038/318,964 = 318,964/x
  3. Step 3: Cross multiply
    147,038x = 318,964 × 318,964
  4. Step 4: Simplify right side
    147,038x = 101,738,033,296
  5. Step 5: Solve for x
    x = 101,738,033,296/147,038
  6. Step 6: Final answer
    x = 691,916.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.