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Finding the Third Proportional to 1,242,610 and 1,909,347

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Solution

The third proportional to 1,242,610 and 1,909,347 is: 2,933,829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242,610 : 1,909,347 = 1,909,347 : x
  2. Step 2: Convert to fraction form
    1,242,610/1,909,347 = 1,909,347/x
  3. Step 3: Cross multiply
    1,242,610x = 1,909,347 × 1,909,347
  4. Step 4: Simplify right side
    1,242,610x = 3,645,605,966,409
  5. Step 5: Solve for x
    x = 3,645,605,966,409/1,242,610
  6. Step 6: Final answer
    x = 2,933,829.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.