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Finding the Third Proportional to 423,284 and 576,430

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Solution

The third proportional to 423,284 and 576,430 is: 784,984.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,284 : 576,430 = 576,430 : x
  2. Step 2: Convert to fraction form
    423,284/576,430 = 576,430/x
  3. Step 3: Cross multiply
    423,284x = 576,430 × 576,430
  4. Step 4: Simplify right side
    423,284x = 332,271,544,900
  5. Step 5: Solve for x
    x = 332,271,544,900/423,284
  6. Step 6: Final answer
    x = 784,984.89

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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.