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Finding the Third Proportional to 160,242 and 260,443.50

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Solution

The third proportional to 160,242 and 260,443.50 is: 423,302.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,242 : 260,443.50 = 260,443.50 : x
  2. Step 2: Convert to fraction form
    160,242/260,443.50 = 260,443.50/x
  3. Step 3: Cross multiply
    160,242x = 260,443.50 × 260,443.50
  4. Step 4: Simplify right side
    160,242x = 67,830,816,692.25
  5. Step 5: Solve for x
    x = 67,830,816,692.25/160,242
  6. Step 6: Final answer
    x = 423,302.36

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.