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Finding the Third Proportional to 840,782 and 1,302,483

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Solution

The third proportional to 840,782 and 1,302,483 is: 2,017,719.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,782 : 1,302,483 = 1,302,483 : x
  2. Step 2: Convert to fraction form
    840,782/1,302,483 = 1,302,483/x
  3. Step 3: Cross multiply
    840,782x = 1,302,483 × 1,302,483
  4. Step 4: Simplify right side
    840,782x = 1,696,461,965,289
  5. Step 5: Solve for x
    x = 1,696,461,965,289/840,782
  6. Step 6: Final answer
    x = 2,017,719.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.