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Finding the Third Proportional to 287,941.50 and 448,220.25

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Solution

The third proportional to 287,941.50 and 448,220.25 is: 697,716.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,941.50 : 448,220.25 = 448,220.25 : x
  2. Step 2: Convert to fraction form
    287,941.50/448,220.25 = 448,220.25/x
  3. Step 3: Cross multiply
    287,941.50x = 448,220.25 × 448,220.25
  4. Step 4: Simplify right side
    287,941.50x = 200,901,392,510.06
  5. Step 5: Solve for x
    x = 200,901,392,510.06/287,941.50
  6. Step 6: Final answer
    x = 697,716.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.