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Finding the Third Proportional to 811,653.75 and 1,285,164

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Solution

The third proportional to 811,653.75 and 1,285,164 is: 2,034,915.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,653.75 : 1,285,164 = 1,285,164 : x
  2. Step 2: Convert to fraction form
    811,653.75/1,285,164 = 1,285,164/x
  3. Step 3: Cross multiply
    811,653.75x = 1,285,164 × 1,285,164
  4. Step 4: Simplify right side
    811,653.75x = 1,651,646,506,896
  5. Step 5: Solve for x
    x = 1,651,646,506,896/811,653.75
  6. Step 6: Final answer
    x = 2,034,915.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.