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Finding the Third Proportional to 820,724 and 1,311,124.38

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Solution

The third proportional to 820,724 and 1,311,124.38 is: 2,094,549.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,724 : 1,311,124.38 = 1,311,124.38 : x
  2. Step 2: Convert to fraction form
    820,724/1,311,124.38 = 1,311,124.38/x
  3. Step 3: Cross multiply
    820,724x = 1,311,124.38 × 1,311,124.38
  4. Step 4: Simplify right side
    820,724x = 1,719,047,126,719.14
  5. Step 5: Solve for x
    x = 1,719,047,126,719.14/820,724
  6. Step 6: Final answer
    x = 2,094,549.60

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.