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Finding the Third Proportional to 12,776,278 and 19,316,859

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Solution

The third proportional to 12,776,278 and 19,316,859 is: 29,205,770.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776,278 : 19,316,859 = 19,316,859 : x
  2. Step 2: Convert to fraction form
    12,776,278/19,316,859 = 19,316,859/x
  3. Step 3: Cross multiply
    12,776,278x = 19,316,859 × 19,316,859
  4. Step 4: Simplify right side
    12,776,278x = 373,141,041,625,881
  5. Step 5: Solve for x
    x = 373,141,041,625,881/12,776,278
  6. Step 6: Final answer
    x = 29,205,770.38

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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.