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Finding the Third Proportional to 379,335 and 812,646

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Solution

The third proportional to 379,335 and 812,646 is: 1,740,924.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,335 : 812,646 = 812,646 : x
  2. Step 2: Convert to fraction form
    379,335/812,646 = 812,646/x
  3. Step 3: Cross multiply
    379,335x = 812,646 × 812,646
  4. Step 4: Simplify right side
    379,335x = 660,393,521,316
  5. Step 5: Solve for x
    x = 660,393,521,316/379,335
  6. Step 6: Final answer
    x = 1,740,924.31

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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.