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Finding the Third Proportional to 170,955 and 265,390.50

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Solution

The third proportional to 170,955 and 265,390.50 is: 411,992.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,955 : 265,390.50 = 265,390.50 : x
  2. Step 2: Convert to fraction form
    170,955/265,390.50 = 265,390.50/x
  3. Step 3: Cross multiply
    170,955x = 265,390.50 × 265,390.50
  4. Step 4: Simplify right side
    170,955x = 70,432,117,490.25
  5. Step 5: Solve for x
    x = 70,432,117,490.25/170,955
  6. Step 6: Final answer
    x = 411,992.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.