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Finding the Third Proportional to 389,570 and 608,973

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Solution

The third proportional to 389,570 and 608,973 is: 951,942.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,570 : 608,973 = 608,973 : x
  2. Step 2: Convert to fraction form
    389,570/608,973 = 608,973/x
  3. Step 3: Cross multiply
    389,570x = 608,973 × 608,973
  4. Step 4: Simplify right side
    389,570x = 370,848,114,729
  5. Step 5: Solve for x
    x = 370,848,114,729/389,570
  6. Step 6: Final answer
    x = 951,942.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.