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Finding the Third Proportional to 423,040 and 887,584

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Solution

The third proportional to 423,040 and 887,584 is: 1,862,247.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,040 : 887,584 = 887,584 : x
  2. Step 2: Convert to fraction form
    423,040/887,584 = 887,584/x
  3. Step 3: Cross multiply
    423,040x = 887,584 × 887,584
  4. Step 4: Simplify right side
    423,040x = 787,805,357,056
  5. Step 5: Solve for x
    x = 787,805,357,056/423,040
  6. Step 6: Final answer
    x = 1,862,247.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.