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Finding the Third Proportional to 343,430 and 744,028

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Solution

The third proportional to 343,430 and 744,028 is: 1,611,908.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,430 : 744,028 = 744,028 : x
  2. Step 2: Convert to fraction form
    343,430/744,028 = 744,028/x
  3. Step 3: Cross multiply
    343,430x = 744,028 × 744,028
  4. Step 4: Simplify right side
    343,430x = 553,577,664,784
  5. Step 5: Solve for x
    x = 553,577,664,784/343,430
  6. Step 6: Final answer
    x = 1,611,908.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.