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Finding the Third Proportional to 389,784 and 841,740

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Solution

The third proportional to 389,784 and 841,740 is: 1,817,740.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,784 : 841,740 = 841,740 : x
  2. Step 2: Convert to fraction form
    389,784/841,740 = 841,740/x
  3. Step 3: Cross multiply
    389,784x = 841,740 × 841,740
  4. Step 4: Simplify right side
    389,784x = 708,526,227,600
  5. Step 5: Solve for x
    x = 708,526,227,600/389,784
  6. Step 6: Final answer
    x = 1,817,740.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.