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Finding the Third Proportional to 858,294 and 1,329,723

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Solution

The third proportional to 858,294 and 1,329,723 is: 2,060,090.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,294 : 1,329,723 = 1,329,723 : x
  2. Step 2: Convert to fraction form
    858,294/1,329,723 = 1,329,723/x
  3. Step 3: Cross multiply
    858,294x = 1,329,723 × 1,329,723
  4. Step 4: Simplify right side
    858,294x = 1,768,163,256,729
  5. Step 5: Solve for x
    x = 1,768,163,256,729/858,294
  6. Step 6: Final answer
    x = 2,060,090.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.