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Finding the Third Proportional to 310,471.50 and 486,005.50

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Solution

The third proportional to 310,471.50 and 486,005.50 is: 760,782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,471.50 : 486,005.50 = 486,005.50 : x
  2. Step 2: Convert to fraction form
    310,471.50/486,005.50 = 486,005.50/x
  3. Step 3: Cross multiply
    310,471.50x = 486,005.50 × 486,005.50
  4. Step 4: Simplify right side
    310,471.50x = 236,201,346,030.25
  5. Step 5: Solve for x
    x = 236,201,346,030.25/310,471.50
  6. Step 6: Final answer
    x = 760,782.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.