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Finding the Third Proportional to 862,914 and 1,350,706

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Solution

The third proportional to 862,914 and 1,350,706 is: 2,114,239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,914 : 1,350,706 = 1,350,706 : x
  2. Step 2: Convert to fraction form
    862,914/1,350,706 = 1,350,706/x
  3. Step 3: Cross multiply
    862,914x = 1,350,706 × 1,350,706
  4. Step 4: Simplify right side
    862,914x = 1,824,406,698,436
  5. Step 5: Solve for x
    x = 1,824,406,698,436/862,914
  6. Step 6: Final answer
    x = 2,114,239.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.