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Finding the Third Proportional to 715,509 and 968,287.50

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Solution

The third proportional to 715,509 and 968,287.50 is: 1,310,368.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,509 : 968,287.50 = 968,287.50 : x
  2. Step 2: Convert to fraction form
    715,509/968,287.50 = 968,287.50/x
  3. Step 3: Cross multiply
    715,509x = 968,287.50 × 968,287.50
  4. Step 4: Simplify right side
    715,509x = 937,580,682,656.25
  5. Step 5: Solve for x
    x = 937,580,682,656.25/715,509
  6. Step 6: Final answer
    x = 1,310,368.82

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.