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Finding the Third Proportional to 456,040 and 999,640

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Solution

The third proportional to 456,040 and 999,640 is: 2,191,211.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,040 : 999,640 = 999,640 : x
  2. Step 2: Convert to fraction form
    456,040/999,640 = 999,640/x
  3. Step 3: Cross multiply
    456,040x = 999,640 × 999,640
  4. Step 4: Simplify right side
    456,040x = 999,280,129,600
  5. Step 5: Solve for x
    x = 999,280,129,600/456,040
  6. Step 6: Final answer
    x = 2,191,211.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.