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Finding the Third Proportional to 370,426 and 553,199

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Solution

The third proportional to 370,426 and 553,199 is: 826,154.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,426 : 553,199 = 553,199 : x
  2. Step 2: Convert to fraction form
    370,426/553,199 = 553,199/x
  3. Step 3: Cross multiply
    370,426x = 553,199 × 553,199
  4. Step 4: Simplify right side
    370,426x = 306,029,133,601
  5. Step 5: Solve for x
    x = 306,029,133,601/370,426
  6. Step 6: Final answer
    x = 826,154.57

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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.