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Finding the Third Proportional to 148,729 and 289,985

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Solution

The third proportional to 148,729 and 289,985 is: 565,399.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,729 : 289,985 = 289,985 : x
  2. Step 2: Convert to fraction form
    148,729/289,985 = 289,985/x
  3. Step 3: Cross multiply
    148,729x = 289,985 × 289,985
  4. Step 4: Simplify right side
    148,729x = 84,091,300,225
  5. Step 5: Solve for x
    x = 84,091,300,225/148,729
  6. Step 6: Final answer
    x = 565,399.49

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.