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Finding the Third Proportional to 356,648 and 554,018

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Solution

The third proportional to 356,648 and 554,018 is: 860,613.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,648 : 554,018 = 554,018 : x
  2. Step 2: Convert to fraction form
    356,648/554,018 = 554,018/x
  3. Step 3: Cross multiply
    356,648x = 554,018 × 554,018
  4. Step 4: Simplify right side
    356,648x = 306,935,944,324
  5. Step 5: Solve for x
    x = 306,935,944,324/356,648
  6. Step 6: Final answer
    x = 860,613.11

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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.