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Finding the Third Proportional to 388,442 and 830,854

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Solution

The third proportional to 388,442 and 830,854 is: 1,777,146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,442 : 830,854 = 830,854 : x
  2. Step 2: Convert to fraction form
    388,442/830,854 = 830,854/x
  3. Step 3: Cross multiply
    388,442x = 830,854 × 830,854
  4. Step 4: Simplify right side
    388,442x = 690,318,369,316
  5. Step 5: Solve for x
    x = 690,318,369,316/388,442
  6. Step 6: Final answer
    x = 1,777,146.57

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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.