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Finding the Third Proportional to 172,060 and 370,490

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Solution

The third proportional to 172,060 and 370,490 is: 797,761.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,060 : 370,490 = 370,490 : x
  2. Step 2: Convert to fraction form
    172,060/370,490 = 370,490/x
  3. Step 3: Cross multiply
    172,060x = 370,490 × 370,490
  4. Step 4: Simplify right side
    172,060x = 137,262,840,100
  5. Step 5: Solve for x
    x = 137,262,840,100/172,060
  6. Step 6: Final answer
    x = 797,761.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.