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Finding the Third Proportional to 781,310 and 1,658,544

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Solution

The third proportional to 781,310 and 1,658,544 is: 3,520,712.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,310 : 1,658,544 = 1,658,544 : x
  2. Step 2: Convert to fraction form
    781,310/1,658,544 = 1,658,544/x
  3. Step 3: Cross multiply
    781,310x = 1,658,544 × 1,658,544
  4. Step 4: Simplify right side
    781,310x = 2,750,768,199,936
  5. Step 5: Solve for x
    x = 2,750,768,199,936/781,310
  6. Step 6: Final answer
    x = 3,520,712.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.