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Finding the Third Proportional to 625,310 and 1,280,102

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Solution

The third proportional to 625,310 and 1,280,102 is: 2,620,558.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,310 : 1,280,102 = 1,280,102 : x
  2. Step 2: Convert to fraction form
    625,310/1,280,102 = 1,280,102/x
  3. Step 3: Cross multiply
    625,310x = 1,280,102 × 1,280,102
  4. Step 4: Simplify right side
    625,310x = 1,638,661,130,404
  5. Step 5: Solve for x
    x = 1,638,661,130,404/625,310
  6. Step 6: Final answer
    x = 2,620,558.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.