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Finding the Third Proportional to 345,218 and 740,164

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Solution

The third proportional to 345,218 and 740,164 is: 1,586,947.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,218 : 740,164 = 740,164 : x
  2. Step 2: Convert to fraction form
    345,218/740,164 = 740,164/x
  3. Step 3: Cross multiply
    345,218x = 740,164 × 740,164
  4. Step 4: Simplify right side
    345,218x = 547,842,746,896
  5. Step 5: Solve for x
    x = 547,842,746,896/345,218
  6. Step 6: Final answer
    x = 1,586,947.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.