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Finding the Third Proportional to 858,432 and 1,261,312

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Solution

The third proportional to 858,432 and 1,261,312 is: 1,853,271.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,432 : 1,261,312 = 1,261,312 : x
  2. Step 2: Convert to fraction form
    858,432/1,261,312 = 1,261,312/x
  3. Step 3: Cross multiply
    858,432x = 1,261,312 × 1,261,312
  4. Step 4: Simplify right side
    858,432x = 1,590,907,961,344
  5. Step 5: Solve for x
    x = 1,590,907,961,344/858,432
  6. Step 6: Final answer
    x = 1,853,271.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.