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Finding the Third Proportional to 76,348 and 115,359

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Solution

The third proportional to 76,348 and 115,359 is: 174,303.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,348 : 115,359 = 115,359 : x
  2. Step 2: Convert to fraction form
    76,348/115,359 = 115,359/x
  3. Step 3: Cross multiply
    76,348x = 115,359 × 115,359
  4. Step 4: Simplify right side
    76,348x = 13,307,698,881
  5. Step 5: Solve for x
    x = 13,307,698,881/76,348
  6. Step 6: Final answer
    x = 174,303.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.