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Finding the Third Proportional to 428,566.50 and 912,628

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Solution

The third proportional to 428,566.50 and 912,628 is: 1,943,432.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,566.50 : 912,628 = 912,628 : x
  2. Step 2: Convert to fraction form
    428,566.50/912,628 = 912,628/x
  3. Step 3: Cross multiply
    428,566.50x = 912,628 × 912,628
  4. Step 4: Simplify right side
    428,566.50x = 832,889,866,384
  5. Step 5: Solve for x
    x = 832,889,866,384/428,566.50
  6. Step 6: Final answer
    x = 1,943,432.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.