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Finding the Third Proportional to 387,358 and 843,308

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Solution

The third proportional to 387,358 and 843,308 is: 1,835,946.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,358 : 843,308 = 843,308 : x
  2. Step 2: Convert to fraction form
    387,358/843,308 = 843,308/x
  3. Step 3: Cross multiply
    387,358x = 843,308 × 843,308
  4. Step 4: Simplify right side
    387,358x = 711,168,382,864
  5. Step 5: Solve for x
    x = 711,168,382,864/387,358
  6. Step 6: Final answer
    x = 1,835,946.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.