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Finding the Third Proportional to 282,070 and 407,570

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Solution

The third proportional to 282,070 and 407,570 is: 588,908.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,070 : 407,570 = 407,570 : x
  2. Step 2: Convert to fraction form
    282,070/407,570 = 407,570/x
  3. Step 3: Cross multiply
    282,070x = 407,570 × 407,570
  4. Step 4: Simplify right side
    282,070x = 166,113,304,900
  5. Step 5: Solve for x
    x = 166,113,304,900/282,070
  6. Step 6: Final answer
    x = 588,908.09

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.