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Finding the Third Proportional to 310,358 and 666,646

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Solution

The third proportional to 310,358 and 666,646 is: 1,431,949.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,358 : 666,646 = 666,646 : x
  2. Step 2: Convert to fraction form
    310,358/666,646 = 666,646/x
  3. Step 3: Cross multiply
    310,358x = 666,646 × 666,646
  4. Step 4: Simplify right side
    310,358x = 444,416,889,316
  5. Step 5: Solve for x
    x = 444,416,889,316/310,358
  6. Step 6: Final answer
    x = 1,431,949.20

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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.