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Finding the Third Proportional to 803,670 and 1,213,657

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Solution

The third proportional to 803,670 and 1,213,657 is: 1,832,796.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,670 : 1,213,657 = 1,213,657 : x
  2. Step 2: Convert to fraction form
    803,670/1,213,657 = 1,213,657/x
  3. Step 3: Cross multiply
    803,670x = 1,213,657 × 1,213,657
  4. Step 4: Simplify right side
    803,670x = 1,472,963,313,649
  5. Step 5: Solve for x
    x = 1,472,963,313,649/803,670
  6. Step 6: Final answer
    x = 1,832,796.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.