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Finding the Third Proportional to 455,503.50 and 999,580.50

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Solution

The third proportional to 455,503.50 and 999,580.50 is: 2,193,531.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,503.50 : 999,580.50 = 999,580.50 : x
  2. Step 2: Convert to fraction form
    455,503.50/999,580.50 = 999,580.50/x
  3. Step 3: Cross multiply
    455,503.50x = 999,580.50 × 999,580.50
  4. Step 4: Simplify right side
    455,503.50x = 999,161,175,980.25
  5. Step 5: Solve for x
    x = 999,161,175,980.25/455,503.50
  6. Step 6: Final answer
    x = 2,193,531.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.