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Finding the Third Proportional to 939,681 and 1,422,643.50

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Solution

The third proportional to 939,681 and 1,422,643.50 is: 2,153,831.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    939,681 : 1,422,643.50 = 1,422,643.50 : x
  2. Step 2: Convert to fraction form
    939,681/1,422,643.50 = 1,422,643.50/x
  3. Step 3: Cross multiply
    939,681x = 1,422,643.50 × 1,422,643.50
  4. Step 4: Simplify right side
    939,681x = 2,023,914,528,092.25
  5. Step 5: Solve for x
    x = 2,023,914,528,092.25/939,681
  6. Step 6: Final answer
    x = 2,153,831.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.