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Finding the Third Proportional to 300,146 and 708,512

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Solution

The third proportional to 300,146 and 708,512 is: 1,672,483.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,146 : 708,512 = 708,512 : x
  2. Step 2: Convert to fraction form
    300,146/708,512 = 708,512/x
  3. Step 3: Cross multiply
    300,146x = 708,512 × 708,512
  4. Step 4: Simplify right side
    300,146x = 501,989,254,144
  5. Step 5: Solve for x
    x = 501,989,254,144/300,146
  6. Step 6: Final answer
    x = 1,672,483.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.