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Finding the Third Proportional to 428,176 and 991,528

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Solution

The third proportional to 428,176 and 991,528 is: 2,296,083.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,176 : 991,528 = 991,528 : x
  2. Step 2: Convert to fraction form
    428,176/991,528 = 991,528/x
  3. Step 3: Cross multiply
    428,176x = 991,528 × 991,528
  4. Step 4: Simplify right side
    428,176x = 983,127,774,784
  5. Step 5: Solve for x
    x = 983,127,774,784/428,176
  6. Step 6: Final answer
    x = 2,296,083.33

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.