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Finding the Third Proportional to 612,972 and 920,295

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Solution

The third proportional to 612,972 and 920,295 is: 1,381,699.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,972 : 920,295 = 920,295 : x
  2. Step 2: Convert to fraction form
    612,972/920,295 = 920,295/x
  3. Step 3: Cross multiply
    612,972x = 920,295 × 920,295
  4. Step 4: Simplify right side
    612,972x = 846,942,887,025
  5. Step 5: Solve for x
    x = 846,942,887,025/612,972
  6. Step 6: Final answer
    x = 1,381,699.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.