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Finding the Third Proportional to 296,071 and 427,340

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Solution

The third proportional to 296,071 and 427,340 is: 616,809.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,071 : 427,340 = 427,340 : x
  2. Step 2: Convert to fraction form
    296,071/427,340 = 427,340/x
  3. Step 3: Cross multiply
    296,071x = 427,340 × 427,340
  4. Step 4: Simplify right side
    296,071x = 182,619,475,600
  5. Step 5: Solve for x
    x = 182,619,475,600/296,071
  6. Step 6: Final answer
    x = 616,809.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.