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Finding the Third Proportional to 387,526 and 851,435

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Solution

The third proportional to 387,526 and 851,435 is: 1,870,691.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,526 : 851,435 = 851,435 : x
  2. Step 2: Convert to fraction form
    387,526/851,435 = 851,435/x
  3. Step 3: Cross multiply
    387,526x = 851,435 × 851,435
  4. Step 4: Simplify right side
    387,526x = 724,941,559,225
  5. Step 5: Solve for x
    x = 724,941,559,225/387,526
  6. Step 6: Final answer
    x = 1,870,691.41

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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.