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Finding the Third Proportional to 105,430 and 163,072

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Solution

The third proportional to 105,430 and 163,072 is: 252,228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,430 : 163,072 = 163,072 : x
  2. Step 2: Convert to fraction form
    105,430/163,072 = 163,072/x
  3. Step 3: Cross multiply
    105,430x = 163,072 × 163,072
  4. Step 4: Simplify right side
    105,430x = 26,592,477,184
  5. Step 5: Solve for x
    x = 26,592,477,184/105,430
  6. Step 6: Final answer
    x = 252,228.75

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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.