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Finding the Third Proportional to 856,036 and 1,281,382

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Solution

The third proportional to 856,036 and 1,281,382 is: 1,918,073.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,036 : 1,281,382 = 1,281,382 : x
  2. Step 2: Convert to fraction form
    856,036/1,281,382 = 1,281,382/x
  3. Step 3: Cross multiply
    856,036x = 1,281,382 × 1,281,382
  4. Step 4: Simplify right side
    856,036x = 1,641,939,829,924
  5. Step 5: Solve for x
    x = 1,641,939,829,924/856,036
  6. Step 6: Final answer
    x = 1,918,073.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.