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Finding the Third Proportional to 388,302 and 830,578

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Solution

The third proportional to 388,302 and 830,578 is: 1,776,606.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,302 : 830,578 = 830,578 : x
  2. Step 2: Convert to fraction form
    388,302/830,578 = 830,578/x
  3. Step 3: Cross multiply
    388,302x = 830,578 × 830,578
  4. Step 4: Simplify right side
    388,302x = 689,859,814,084
  5. Step 5: Solve for x
    x = 689,859,814,084/388,302
  6. Step 6: Final answer
    x = 1,776,606.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.