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Finding the Third Proportional to 423,210 and 574,122

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Solution

The third proportional to 423,210 and 574,122 is: 778,847.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,210 : 574,122 = 574,122 : x
  2. Step 2: Convert to fraction form
    423,210/574,122 = 574,122/x
  3. Step 3: Cross multiply
    423,210x = 574,122 × 574,122
  4. Step 4: Simplify right side
    423,210x = 329,616,070,884
  5. Step 5: Solve for x
    x = 329,616,070,884/423,210
  6. Step 6: Final answer
    x = 778,847.55

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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.