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Finding the Third Proportional to 77,783.63 and 169,644.38

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Solution

The third proportional to 77,783.63 and 169,644.38 is: 369,990.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,783.63 : 169,644.38 = 169,644.38 : x
  2. Step 2: Convert to fraction form
    77,783.63/169,644.38 = 169,644.38/x
  3. Step 3: Cross multiply
    77,783.63x = 169,644.38 × 169,644.38
  4. Step 4: Simplify right side
    77,783.63x = 28,779,213,969.14
  5. Step 5: Solve for x
    x = 28,779,213,969.14/77,783.63
  6. Step 6: Final answer
    x = 369,990.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.