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Finding the Third Proportional to 7,750,278 and 12,761,646

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Solution

The third proportional to 7,750,278 and 12,761,646 is: 21,013,389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750,278 : 12,761,646 = 12,761,646 : x
  2. Step 2: Convert to fraction form
    7,750,278/12,761,646 = 12,761,646/x
  3. Step 3: Cross multiply
    7,750,278x = 12,761,646 × 12,761,646
  4. Step 4: Simplify right side
    7,750,278x = 162,859,608,629,316
  5. Step 5: Solve for x
    x = 162,859,608,629,316/7,750,278
  6. Step 6: Final answer
    x = 21,013,389.28

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.