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Finding the Third Proportional to 309,428 and 675,216

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Solution

The third proportional to 309,428 and 675,216 is: 1,473,417.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,428 : 675,216 = 675,216 : x
  2. Step 2: Convert to fraction form
    309,428/675,216 = 675,216/x
  3. Step 3: Cross multiply
    309,428x = 675,216 × 675,216
  4. Step 4: Simplify right side
    309,428x = 455,916,646,656
  5. Step 5: Solve for x
    x = 455,916,646,656/309,428
  6. Step 6: Final answer
    x = 1,473,417.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.