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Finding the Third Proportional to 829,740 and 1,281,458

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Solution

The third proportional to 829,740 and 1,281,458 is: 1,979,095.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,740 : 1,281,458 = 1,281,458 : x
  2. Step 2: Convert to fraction form
    829,740/1,281,458 = 1,281,458/x
  3. Step 3: Cross multiply
    829,740x = 1,281,458 × 1,281,458
  4. Step 4: Simplify right side
    829,740x = 1,642,134,605,764
  5. Step 5: Solve for x
    x = 1,642,134,605,764/829,740
  6. Step 6: Final answer
    x = 1,979,095.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.