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Finding the Third Proportional to 370,310 and 553,042

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Solution

The third proportional to 370,310 and 553,042 is: 825,944.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,310 : 553,042 = 553,042 : x
  2. Step 2: Convert to fraction form
    370,310/553,042 = 553,042/x
  3. Step 3: Cross multiply
    370,310x = 553,042 × 553,042
  4. Step 4: Simplify right side
    370,310x = 305,855,453,764
  5. Step 5: Solve for x
    x = 305,855,453,764/370,310
  6. Step 6: Final answer
    x = 825,944.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.