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Finding the Third Proportional to 423,280 and 574,860

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Solution

The third proportional to 423,280 and 574,860 is: 780,722.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,280 : 574,860 = 574,860 : x
  2. Step 2: Convert to fraction form
    423,280/574,860 = 574,860/x
  3. Step 3: Cross multiply
    423,280x = 574,860 × 574,860
  4. Step 4: Simplify right side
    423,280x = 330,464,019,600
  5. Step 5: Solve for x
    x = 330,464,019,600/423,280
  6. Step 6: Final answer
    x = 780,722.03

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.