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Finding the Third Proportional to 440,370 and 612,747

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Solution

The third proportional to 440,370 and 612,747 is: 852,598.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,370 : 612,747 = 612,747 : x
  2. Step 2: Convert to fraction form
    440,370/612,747 = 612,747/x
  3. Step 3: Cross multiply
    440,370x = 612,747 × 612,747
  4. Step 4: Simplify right side
    440,370x = 375,458,886,009
  5. Step 5: Solve for x
    x = 375,458,886,009/440,370
  6. Step 6: Final answer
    x = 852,598.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.