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Finding the Third Proportional to 315,810.50 and 485,430

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Solution

The third proportional to 315,810.50 and 485,430 is: 746,150.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,810.50 : 485,430 = 485,430 : x
  2. Step 2: Convert to fraction form
    315,810.50/485,430 = 485,430/x
  3. Step 3: Cross multiply
    315,810.50x = 485,430 × 485,430
  4. Step 4: Simplify right side
    315,810.50x = 235,642,284,900
  5. Step 5: Solve for x
    x = 235,642,284,900/315,810.50
  6. Step 6: Final answer
    x = 746,150.89

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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.