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Finding the Third Proportional to 766,643 and 1,122,080

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Solution

The third proportional to 766,643 and 1,122,080 is: 1,642,307.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,643 : 1,122,080 = 1,122,080 : x
  2. Step 2: Convert to fraction form
    766,643/1,122,080 = 1,122,080/x
  3. Step 3: Cross multiply
    766,643x = 1,122,080 × 1,122,080
  4. Step 4: Simplify right side
    766,643x = 1,259,063,526,400
  5. Step 5: Solve for x
    x = 1,259,063,526,400/766,643
  6. Step 6: Final answer
    x = 1,642,307.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.