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Finding the Third Proportional to 450,242 and 712,947

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Solution

The third proportional to 450,242 and 712,947 is: 1,128,933.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,242 : 712,947 = 712,947 : x
  2. Step 2: Convert to fraction form
    450,242/712,947 = 712,947/x
  3. Step 3: Cross multiply
    450,242x = 712,947 × 712,947
  4. Step 4: Simplify right side
    450,242x = 508,293,424,809
  5. Step 5: Solve for x
    x = 508,293,424,809/450,242
  6. Step 6: Final answer
    x = 1,128,933.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.