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Finding the Third Proportional to 199,308 and 430,080

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Solution

The third proportional to 199,308 and 430,080 is: 928,055.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,308 : 430,080 = 430,080 : x
  2. Step 2: Convert to fraction form
    199,308/430,080 = 430,080/x
  3. Step 3: Cross multiply
    199,308x = 430,080 × 430,080
  4. Step 4: Simplify right side
    199,308x = 184,968,806,400
  5. Step 5: Solve for x
    x = 184,968,806,400/199,308
  6. Step 6: Final answer
    x = 928,055.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.