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Finding the Third Proportional to 448,470 and 666,313

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Solution

The third proportional to 448,470 and 666,313 is: 989,972.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,470 : 666,313 = 666,313 : x
  2. Step 2: Convert to fraction form
    448,470/666,313 = 666,313/x
  3. Step 3: Cross multiply
    448,470x = 666,313 × 666,313
  4. Step 4: Simplify right side
    448,470x = 443,973,013,969
  5. Step 5: Solve for x
    x = 443,973,013,969/448,470
  6. Step 6: Final answer
    x = 989,972.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.