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Finding the Third Proportional to 371,984 and 813,520

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Solution

The third proportional to 371,984 and 813,520 is: 1,779,148.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,984 : 813,520 = 813,520 : x
  2. Step 2: Convert to fraction form
    371,984/813,520 = 813,520/x
  3. Step 3: Cross multiply
    371,984x = 813,520 × 813,520
  4. Step 4: Simplify right side
    371,984x = 661,814,790,400
  5. Step 5: Solve for x
    x = 661,814,790,400/371,984
  6. Step 6: Final answer
    x = 1,779,148.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.