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Finding the Third Proportional to 315,802.13 and 485,416.13

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Solution

The third proportional to 315,802.13 and 485,416.13 is: 746,128.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,802.13 : 485,416.13 = 485,416.13 : x
  2. Step 2: Convert to fraction form
    315,802.13/485,416.13 = 485,416.13/x
  3. Step 3: Cross multiply
    315,802.13x = 485,416.13 × 485,416.13
  4. Step 4: Simplify right side
    315,802.13x = 235,628,814,410.02
  5. Step 5: Solve for x
    x = 235,628,814,410.02/315,802.13
  6. Step 6: Final answer
    x = 746,128.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.