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Finding the Third Proportional to 120,312 and 176,148

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Solution

The third proportional to 120,312 and 176,148 is: 257,897.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,312 : 176,148 = 176,148 : x
  2. Step 2: Convert to fraction form
    120,312/176,148 = 176,148/x
  3. Step 3: Cross multiply
    120,312x = 176,148 × 176,148
  4. Step 4: Simplify right side
    120,312x = 31,028,117,904
  5. Step 5: Solve for x
    x = 31,028,117,904/120,312
  6. Step 6: Final answer
    x = 257,897.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.