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Finding the Third Proportional to 12,860,114 and 17,980,347

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Solution

The third proportional to 12,860,114 and 17,980,347 is: 25,139,192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,860,114 : 17,980,347 = 17,980,347 : x
  2. Step 2: Convert to fraction form
    12,860,114/17,980,347 = 17,980,347/x
  3. Step 3: Cross multiply
    12,860,114x = 17,980,347 × 17,980,347
  4. Step 4: Simplify right side
    12,860,114x = 323,292,878,240,409
  5. Step 5: Solve for x
    x = 323,292,878,240,409/12,860,114
  6. Step 6: Final answer
    x = 25,139,192.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.