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Finding the Third Proportional to 164,490.56 and 358,728.38

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Solution

The third proportional to 164,490.56 and 358,728.38 is: 782,330.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,490.56 : 358,728.38 = 358,728.38 : x
  2. Step 2: Convert to fraction form
    164,490.56/358,728.38 = 358,728.38/x
  3. Step 3: Cross multiply
    164,490.56x = 358,728.38 × 358,728.38
  4. Step 4: Simplify right side
    164,490.56x = 128,686,047,030.14
  5. Step 5: Solve for x
    x = 128,686,047,030.14/164,490.56
  6. Step 6: Final answer
    x = 782,330.88

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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.