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Finding the Third Proportional to 540,970 and 842,073

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Solution

The third proportional to 540,970 and 842,073 is: 1,310,769.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,970 : 842,073 = 842,073 : x
  2. Step 2: Convert to fraction form
    540,970/842,073 = 842,073/x
  3. Step 3: Cross multiply
    540,970x = 842,073 × 842,073
  4. Step 4: Simplify right side
    540,970x = 709,086,937,329
  5. Step 5: Solve for x
    x = 709,086,937,329/540,970
  6. Step 6: Final answer
    x = 1,310,769.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.