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Finding the Third Proportional to 842,807 and 1,820,317

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Solution

The third proportional to 842,807 and 1,820,317 is: 3,931,569.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,807 : 1,820,317 = 1,820,317 : x
  2. Step 2: Convert to fraction form
    842,807/1,820,317 = 1,820,317/x
  3. Step 3: Cross multiply
    842,807x = 1,820,317 × 1,820,317
  4. Step 4: Simplify right side
    842,807x = 3,313,553,980,489
  5. Step 5: Solve for x
    x = 3,313,553,980,489/842,807
  6. Step 6: Final answer
    x = 3,931,569.13

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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.