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Finding the Third Proportional to 342,428 and 737,560

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Solution

The third proportional to 342,428 and 737,560 is: 1,588,639.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,428 : 737,560 = 737,560 : x
  2. Step 2: Convert to fraction form
    342,428/737,560 = 737,560/x
  3. Step 3: Cross multiply
    342,428x = 737,560 × 737,560
  4. Step 4: Simplify right side
    342,428x = 543,994,753,600
  5. Step 5: Solve for x
    x = 543,994,753,600/342,428
  6. Step 6: Final answer
    x = 1,588,639.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.