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Finding the Third Proportional to 164,040 and 341,167.50

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Solution

The third proportional to 164,040 and 341,167.50 is: 709,554.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,040 : 341,167.50 = 341,167.50 : x
  2. Step 2: Convert to fraction form
    164,040/341,167.50 = 341,167.50/x
  3. Step 3: Cross multiply
    164,040x = 341,167.50 × 341,167.50
  4. Step 4: Simplify right side
    164,040x = 116,395,263,056.25
  5. Step 5: Solve for x
    x = 116,395,263,056.25/164,040
  6. Step 6: Final answer
    x = 709,554.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.