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Finding the Third Proportional to 235,480 and 515,888

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Solution

The third proportional to 235,480 and 515,888 is: 1,130,203.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,480 : 515,888 = 515,888 : x
  2. Step 2: Convert to fraction form
    235,480/515,888 = 515,888/x
  3. Step 3: Cross multiply
    235,480x = 515,888 × 515,888
  4. Step 4: Simplify right side
    235,480x = 266,140,428,544
  5. Step 5: Solve for x
    x = 266,140,428,544/235,480
  6. Step 6: Final answer
    x = 1,130,203.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.