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Finding the Third Proportional to 390,484 and 646,278

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Solution

The third proportional to 390,484 and 646,278 is: 1,069,634.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,484 : 646,278 = 646,278 : x
  2. Step 2: Convert to fraction form
    390,484/646,278 = 646,278/x
  3. Step 3: Cross multiply
    390,484x = 646,278 × 646,278
  4. Step 4: Simplify right side
    390,484x = 417,675,253,284
  5. Step 5: Solve for x
    x = 417,675,253,284/390,484
  6. Step 6: Final answer
    x = 1,069,634.74

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.