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Finding the Third Proportional to 389,774 and 841,720

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Solution

The third proportional to 389,774 and 841,720 is: 1,817,700.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,774 : 841,720 = 841,720 : x
  2. Step 2: Convert to fraction form
    389,774/841,720 = 841,720/x
  3. Step 3: Cross multiply
    389,774x = 841,720 × 841,720
  4. Step 4: Simplify right side
    389,774x = 708,492,558,400
  5. Step 5: Solve for x
    x = 708,492,558,400/389,774
  6. Step 6: Final answer
    x = 1,817,700.92

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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.