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Finding the Third Proportional to 1,070,985 and 1,427,821

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Solution

The third proportional to 1,070,985 and 1,427,821 is: 1,903,549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070,985 : 1,427,821 = 1,427,821 : x
  2. Step 2: Convert to fraction form
    1,070,985/1,427,821 = 1,427,821/x
  3. Step 3: Cross multiply
    1,070,985x = 1,427,821 × 1,427,821
  4. Step 4: Simplify right side
    1,070,985x = 2,038,672,808,041
  5. Step 5: Solve for x
    x = 2,038,672,808,041/1,070,985
  6. Step 6: Final answer
    x = 1,903,549.36

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.