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Finding the Third Proportional to 1,710,936 and 3,748,464

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Solution

The third proportional to 1,710,936 and 3,748,464 is: 8,212,453.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710,936 : 3,748,464 = 3,748,464 : x
  2. Step 2: Convert to fraction form
    1,710,936/3,748,464 = 3,748,464/x
  3. Step 3: Cross multiply
    1,710,936x = 3,748,464 × 3,748,464
  4. Step 4: Simplify right side
    1,710,936x = 14,050,982,359,296
  5. Step 5: Solve for x
    x = 14,050,982,359,296/1,710,936
  6. Step 6: Final answer
    x = 8,212,453.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.