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Finding the Third Proportional to 393,048,520 and 841,311,009

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Solution

The third proportional to 393,048,520 and 841,311,009 is: 1,800,806,205.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,048,520 : 841,311,009 = 841,311,009 : x
  2. Step 2: Convert to fraction form
    393,048,520/841,311,009 = 841,311,009/x
  3. Step 3: Cross multiply
    393,048,520x = 841,311,009 × 841,311,009
  4. Step 4: Simplify right side
    393,048,520x = 707,804,213,864,598,144
  5. Step 5: Solve for x
    x = 707,804,213,864,598,144/393,048,520
  6. Step 6: Final answer
    x = 1,800,806,205.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.