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Finding the Third Proportional to 555,556 and 786,624

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Solution

The third proportional to 555,556 and 786,624 is: 1,113,798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,556 : 786,624 = 786,624 : x
  2. Step 2: Convert to fraction form
    555,556/786,624 = 786,624/x
  3. Step 3: Cross multiply
    555,556x = 786,624 × 786,624
  4. Step 4: Simplify right side
    555,556x = 618,777,317,376
  5. Step 5: Solve for x
    x = 618,777,317,376/555,556
  6. Step 6: Final answer
    x = 1,113,798.28

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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.