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Finding the Third Proportional to 310,740.75 and 456,268.50

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Solution

The third proportional to 310,740.75 and 456,268.50 is: 669,950.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,740.75 : 456,268.50 = 456,268.50 : x
  2. Step 2: Convert to fraction form
    310,740.75/456,268.50 = 456,268.50/x
  3. Step 3: Cross multiply
    310,740.75x = 456,268.50 × 456,268.50
  4. Step 4: Simplify right side
    310,740.75x = 208,180,944,092.25
  5. Step 5: Solve for x
    x = 208,180,944,092.25/310,740.75
  6. Step 6: Final answer
    x = 669,950.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.