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Finding the Third Proportional to 315,829.13 and 485,942.06

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Solution

The third proportional to 315,829.13 and 485,942.06 is: 747,681.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,829.13 : 485,942.06 = 485,942.06 : x
  2. Step 2: Convert to fraction form
    315,829.13/485,942.06 = 485,942.06/x
  3. Step 3: Cross multiply
    315,829.13x = 485,942.06 × 485,942.06
  4. Step 4: Simplify right side
    315,829.13x = 236,139,688,106.75
  5. Step 5: Solve for x
    x = 236,139,688,106.75/315,829.13
  6. Step 6: Final answer
    x = 747,681.80

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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.