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Finding the Third Proportional to 1,020,288 and 2,224,282.50

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Solution

The third proportional to 1,020,288 and 2,224,282.50 is: 4,849,055.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,288 : 2,224,282.50 = 2,224,282.50 : x
  2. Step 2: Convert to fraction form
    1,020,288/2,224,282.50 = 2,224,282.50/x
  3. Step 3: Cross multiply
    1,020,288x = 2,224,282.50 × 2,224,282.50
  4. Step 4: Simplify right side
    1,020,288x = 4,947,432,639,806.25
  5. Step 5: Solve for x
    x = 4,947,432,639,806.25/1,020,288
  6. Step 6: Final answer
    x = 4,849,055.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.