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Finding the Third Proportional to 501,966.75 and 978,712.50

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Solution

The third proportional to 501,966.75 and 978,712.50 is: 1,908,250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,966.75 : 978,712.50 = 978,712.50 : x
  2. Step 2: Convert to fraction form
    501,966.75/978,712.50 = 978,712.50/x
  3. Step 3: Cross multiply
    501,966.75x = 978,712.50 × 978,712.50
  4. Step 4: Simplify right side
    501,966.75x = 957,878,157,656.25
  5. Step 5: Solve for x
    x = 957,878,157,656.25/501,966.75
  6. Step 6: Final answer
    x = 1,908,250.21

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.