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Finding the Third Proportional to 388,363 and 830,695

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Solution

The third proportional to 388,363 and 830,695 is: 1,776,827.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,363 : 830,695 = 830,695 : x
  2. Step 2: Convert to fraction form
    388,363/830,695 = 830,695/x
  3. Step 3: Cross multiply
    388,363x = 830,695 × 830,695
  4. Step 4: Simplify right side
    388,363x = 690,054,183,025
  5. Step 5: Solve for x
    x = 690,054,183,025/388,363
  6. Step 6: Final answer
    x = 1,776,827.82

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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.