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Finding the Third Proportional to 7,778,502 and 11,775,069

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Solution

The third proportional to 7,778,502 and 11,775,069 is: 17,825,058.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778,502 : 11,775,069 = 11,775,069 : x
  2. Step 2: Convert to fraction form
    7,778,502/11,775,069 = 11,775,069/x
  3. Step 3: Cross multiply
    7,778,502x = 11,775,069 × 11,775,069
  4. Step 4: Simplify right side
    7,778,502x = 138,652,249,954,761
  5. Step 5: Solve for x
    x = 138,652,249,954,761/7,778,502
  6. Step 6: Final answer
    x = 17,825,058.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.