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Finding the Third Proportional to 247,385 and 370,430

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Solution

The third proportional to 247,385 and 370,430 is: 554,675.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,385 : 370,430 = 370,430 : x
  2. Step 2: Convert to fraction form
    247,385/370,430 = 370,430/x
  3. Step 3: Cross multiply
    247,385x = 370,430 × 370,430
  4. Step 4: Simplify right side
    247,385x = 137,218,384,900
  5. Step 5: Solve for x
    x = 137,218,384,900/247,385
  6. Step 6: Final answer
    x = 554,675.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.