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Finding the Third Proportional to 128,547 and 197,708

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Solution

The third proportional to 128,547 and 197,708 is: 304,079.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,547 : 197,708 = 197,708 : x
  2. Step 2: Convert to fraction form
    128,547/197,708 = 197,708/x
  3. Step 3: Cross multiply
    128,547x = 197,708 × 197,708
  4. Step 4: Simplify right side
    128,547x = 39,088,453,264
  5. Step 5: Solve for x
    x = 39,088,453,264/128,547
  6. Step 6: Final answer
    x = 304,079.08

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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.