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Finding the Third Proportional to 419,570 and 645,283

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Solution

The third proportional to 419,570 and 645,283 is: 992,421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,570 : 645,283 = 645,283 : x
  2. Step 2: Convert to fraction form
    419,570/645,283 = 645,283/x
  3. Step 3: Cross multiply
    419,570x = 645,283 × 645,283
  4. Step 4: Simplify right side
    419,570x = 416,390,150,089
  5. Step 5: Solve for x
    x = 416,390,150,089/419,570
  6. Step 6: Final answer
    x = 992,421.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.