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Finding the Third Proportional to 555,566 and 786,639

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Solution

The third proportional to 555,566 and 786,639 is: 1,113,820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,566 : 786,639 = 786,639 : x
  2. Step 2: Convert to fraction form
    555,566/786,639 = 786,639/x
  3. Step 3: Cross multiply
    555,566x = 786,639 × 786,639
  4. Step 4: Simplify right side
    555,566x = 618,800,916,321
  5. Step 5: Solve for x
    x = 618,800,916,321/555,566
  6. Step 6: Final answer
    x = 1,113,820.71

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.