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Finding the Third Proportional to 916,245 and 1,398,062.25

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Solution

The third proportional to 916,245 and 1,398,062.25 is: 2,133,248.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,245 : 1,398,062.25 = 1,398,062.25 : x
  2. Step 2: Convert to fraction form
    916,245/1,398,062.25 = 1,398,062.25/x
  3. Step 3: Cross multiply
    916,245x = 1,398,062.25 × 1,398,062.25
  4. Step 4: Simplify right side
    916,245x = 1,954,578,054,875.06
  5. Step 5: Solve for x
    x = 1,954,578,054,875.06/916,245
  6. Step 6: Final answer
    x = 2,133,248.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.