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Finding the Third Proportional to 638,335.13 and 989,740.69

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Solution

The third proportional to 638,335.13 and 989,740.69 is: 1,534,596.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,335.13 : 989,740.69 = 989,740.69 : x
  2. Step 2: Convert to fraction form
    638,335.13/989,740.69 = 989,740.69/x
  3. Step 3: Cross multiply
    638,335.13x = 989,740.69 × 989,740.69
  4. Step 4: Simplify right side
    638,335.13x = 979,586,628,492.97
  5. Step 5: Solve for x
    x = 979,586,628,492.97/638,335.13
  6. Step 6: Final answer
    x = 1,534,596.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.