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Finding the Third Proportional to 389,776.50 and 583,075.41

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Solution

The third proportional to 389,776.50 and 583,075.41 is: 872,235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,776.50 : 583,075.41 = 583,075.41 : x
  2. Step 2: Convert to fraction form
    389,776.50/583,075.41 = 583,075.41/x
  3. Step 3: Cross multiply
    389,776.50x = 583,075.41 × 583,075.41
  4. Step 4: Simplify right side
    389,776.50x = 339,976,929,373.60
  5. Step 5: Solve for x
    x = 339,976,929,373.60/389,776.50
  6. Step 6: Final answer
    x = 872,235.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.