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Finding the Third Proportional to 292,856 and 445,470

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Solution

The third proportional to 292,856 and 445,470 is: 677,614.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,856 : 445,470 = 445,470 : x
  2. Step 2: Convert to fraction form
    292,856/445,470 = 445,470/x
  3. Step 3: Cross multiply
    292,856x = 445,470 × 445,470
  4. Step 4: Simplify right side
    292,856x = 198,443,520,900
  5. Step 5: Solve for x
    x = 198,443,520,900/292,856
  6. Step 6: Final answer
    x = 677,614.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.