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Finding the Third Proportional to 385,430 and 847,747

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Solution

The third proportional to 385,430 and 847,747 is: 1,864,605.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,430 : 847,747 = 847,747 : x
  2. Step 2: Convert to fraction form
    385,430/847,747 = 847,747/x
  3. Step 3: Cross multiply
    385,430x = 847,747 × 847,747
  4. Step 4: Simplify right side
    385,430x = 718,674,976,009
  5. Step 5: Solve for x
    x = 718,674,976,009/385,430
  6. Step 6: Final answer
    x = 1,864,605.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.