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Finding the Third Proportional to 358,946 and 553,395

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Solution

The third proportional to 358,946 and 553,395 is: 853,181.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,946 : 553,395 = 553,395 : x
  2. Step 2: Convert to fraction form
    358,946/553,395 = 553,395/x
  3. Step 3: Cross multiply
    358,946x = 553,395 × 553,395
  4. Step 4: Simplify right side
    358,946x = 306,246,026,025
  5. Step 5: Solve for x
    x = 306,246,026,025/358,946
  6. Step 6: Final answer
    x = 853,181.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.