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Finding the Third Proportional to 277,824 and 430,464

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Solution

The third proportional to 277,824 and 430,464 is: 666,966.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,824 : 430,464 = 430,464 : x
  2. Step 2: Convert to fraction form
    277,824/430,464 = 430,464/x
  3. Step 3: Cross multiply
    277,824x = 430,464 × 430,464
  4. Step 4: Simplify right side
    277,824x = 185,299,255,296
  5. Step 5: Solve for x
    x = 185,299,255,296/277,824
  6. Step 6: Final answer
    x = 666,966.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.