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Finding the Third Proportional to 688,139 and 1,486,995

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Solution

The third proportional to 688,139 and 1,486,995 is: 3,213,237.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,139 : 1,486,995 = 1,486,995 : x
  2. Step 2: Convert to fraction form
    688,139/1,486,995 = 1,486,995/x
  3. Step 3: Cross multiply
    688,139x = 1,486,995 × 1,486,995
  4. Step 4: Simplify right side
    688,139x = 2,211,154,130,025
  5. Step 5: Solve for x
    x = 2,211,154,130,025/688,139
  6. Step 6: Final answer
    x = 3,213,237.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.