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Finding the Third Proportional to 128,430 and 197,646

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Solution

The third proportional to 128,430 and 197,646 is: 304,165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,430 : 197,646 = 197,646 : x
  2. Step 2: Convert to fraction form
    128,430/197,646 = 197,646/x
  3. Step 3: Cross multiply
    128,430x = 197,646 × 197,646
  4. Step 4: Simplify right side
    128,430x = 39,063,941,316
  5. Step 5: Solve for x
    x = 39,063,941,316/128,430
  6. Step 6: Final answer
    x = 304,165.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.