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Finding the Third Proportional to 487,396 and 1,128,232

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Solution

The third proportional to 487,396 and 1,128,232 is: 2,611,649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,396 : 1,128,232 = 1,128,232 : x
  2. Step 2: Convert to fraction form
    487,396/1,128,232 = 1,128,232/x
  3. Step 3: Cross multiply
    487,396x = 1,128,232 × 1,128,232
  4. Step 4: Simplify right side
    487,396x = 1,272,907,445,824
  5. Step 5: Solve for x
    x = 1,272,907,445,824/487,396
  6. Step 6: Final answer
    x = 2,611,649.35

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.