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Finding the Third Proportional to 231,946 and 358,395

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Solution

The third proportional to 231,946 and 358,395 is: 553,779.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,946 : 358,395 = 358,395 : x
  2. Step 2: Convert to fraction form
    231,946/358,395 = 358,395/x
  3. Step 3: Cross multiply
    231,946x = 358,395 × 358,395
  4. Step 4: Simplify right side
    231,946x = 128,446,976,025
  5. Step 5: Solve for x
    x = 128,446,976,025/231,946
  6. Step 6: Final answer
    x = 553,779.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.