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Finding the Third Proportional to 115,209 and 177,730.50

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Solution

The third proportional to 115,209 and 177,730.50 is: 274,181.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,209 : 177,730.50 = 177,730.50 : x
  2. Step 2: Convert to fraction form
    115,209/177,730.50 = 177,730.50/x
  3. Step 3: Cross multiply
    115,209x = 177,730.50 × 177,730.50
  4. Step 4: Simplify right side
    115,209x = 31,588,130,630.25
  5. Step 5: Solve for x
    x = 31,588,130,630.25/115,209
  6. Step 6: Final answer
    x = 274,181.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.