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Finding the Third Proportional to 882,686 and 1,352,460

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Solution

The third proportional to 882,686 and 1,352,460 is: 2,072,252.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,686 : 1,352,460 = 1,352,460 : x
  2. Step 2: Convert to fraction form
    882,686/1,352,460 = 1,352,460/x
  3. Step 3: Cross multiply
    882,686x = 1,352,460 × 1,352,460
  4. Step 4: Simplify right side
    882,686x = 1,829,148,051,600
  5. Step 5: Solve for x
    x = 1,829,148,051,600/882,686
  6. Step 6: Final answer
    x = 2,072,252.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.