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Finding the Third Proportional to 144,312 and 319,770

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Solution

The third proportional to 144,312 and 319,770 is: 708,554.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,312 : 319,770 = 319,770 : x
  2. Step 2: Convert to fraction form
    144,312/319,770 = 319,770/x
  3. Step 3: Cross multiply
    144,312x = 319,770 × 319,770
  4. Step 4: Simplify right side
    144,312x = 102,252,852,900
  5. Step 5: Solve for x
    x = 102,252,852,900/144,312
  6. Step 6: Final answer
    x = 708,554.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.