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Finding the Third Proportional to 292,470 and 637,824

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Solution

The third proportional to 292,470 and 637,824 is: 1,390,978.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,470 : 637,824 = 637,824 : x
  2. Step 2: Convert to fraction form
    292,470/637,824 = 637,824/x
  3. Step 3: Cross multiply
    292,470x = 637,824 × 637,824
  4. Step 4: Simplify right side
    292,470x = 406,819,454,976
  5. Step 5: Solve for x
    x = 406,819,454,976/292,470
  6. Step 6: Final answer
    x = 1,390,978.41

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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.