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Finding the Third Proportional to 450,264 and 712,980

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Solution

The third proportional to 450,264 and 712,980 is: 1,128,983.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,264 : 712,980 = 712,980 : x
  2. Step 2: Convert to fraction form
    450,264/712,980 = 712,980/x
  3. Step 3: Cross multiply
    450,264x = 712,980 × 712,980
  4. Step 4: Simplify right side
    450,264x = 508,340,480,400
  5. Step 5: Solve for x
    x = 508,340,480,400/450,264
  6. Step 6: Final answer
    x = 1,128,983.18

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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.