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Finding the Third Proportional to 638,547.75 and 988,804.13

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Solution

The third proportional to 638,547.75 and 988,804.13 is: 1,531,183.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,547.75 : 988,804.13 = 988,804.13 : x
  2. Step 2: Convert to fraction form
    638,547.75/988,804.13 = 988,804.13/x
  3. Step 3: Cross multiply
    638,547.75x = 988,804.13 × 988,804.13
  4. Step 4: Simplify right side
    638,547.75x = 977,733,597,617.02
  5. Step 5: Solve for x
    x = 977,733,597,617.02/638,547.75
  6. Step 6: Final answer
    x = 1,531,183.22

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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.