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Finding the Third Proportional to 913,890 and 1,980,312

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Solution

The third proportional to 913,890 and 1,980,312 is: 4,291,146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,890 : 1,980,312 = 1,980,312 : x
  2. Step 2: Convert to fraction form
    913,890/1,980,312 = 1,980,312/x
  3. Step 3: Cross multiply
    913,890x = 1,980,312 × 1,980,312
  4. Step 4: Simplify right side
    913,890x = 3,921,635,617,344
  5. Step 5: Solve for x
    x = 3,921,635,617,344/913,890
  6. Step 6: Final answer
    x = 4,291,146.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.