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Finding the Third Proportional to 421,930 and 859,528

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Solution

The third proportional to 421,930 and 859,528 is: 1,750,973.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,930 : 859,528 = 859,528 : x
  2. Step 2: Convert to fraction form
    421,930/859,528 = 859,528/x
  3. Step 3: Cross multiply
    421,930x = 859,528 × 859,528
  4. Step 4: Simplify right side
    421,930x = 738,788,382,784
  5. Step 5: Solve for x
    x = 738,788,382,784/421,930
  6. Step 6: Final answer
    x = 1,750,973.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.