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Finding the Third Proportional to 343,750.08 and 505,090.69

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Solution

The third proportional to 343,750.08 and 505,090.69 is: 742,157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,750.08 : 505,090.69 = 505,090.69 : x
  2. Step 2: Convert to fraction form
    343,750.08/505,090.69 = 505,090.69/x
  3. Step 3: Cross multiply
    343,750.08x = 505,090.69 × 505,090.69
  4. Step 4: Simplify right side
    343,750.08x = 255,116,602,599.22
  5. Step 5: Solve for x
    x = 255,116,602,599.22/343,750.08
  6. Step 6: Final answer
    x = 742,157.22

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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.