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Finding the Third Proportional to 820,315 and 1,283,903

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Solution

The third proportional to 820,315 and 1,283,903 is: 2,009,480.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,315 : 1,283,903 = 1,283,903 : x
  2. Step 2: Convert to fraction form
    820,315/1,283,903 = 1,283,903/x
  3. Step 3: Cross multiply
    820,315x = 1,283,903 × 1,283,903
  4. Step 4: Simplify right side
    820,315x = 1,648,406,913,409
  5. Step 5: Solve for x
    x = 1,648,406,913,409/820,315
  6. Step 6: Final answer
    x = 2,009,480.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.