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Finding the Third Proportional to 434,748 and 668,322

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Solution

The third proportional to 434,748 and 668,322 is: 1,027,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,748 : 668,322 = 668,322 : x
  2. Step 2: Convert to fraction form
    434,748/668,322 = 668,322/x
  3. Step 3: Cross multiply
    434,748x = 668,322 × 668,322
  4. Step 4: Simplify right side
    434,748x = 446,654,295,684
  5. Step 5: Solve for x
    x = 446,654,295,684/434,748
  6. Step 6: Final answer
    x = 1,027,386.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.