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Finding the Third Proportional to 430,196 and 668,304

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Solution

The third proportional to 430,196 and 668,304 is: 1,038,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,196 : 668,304 = 668,304 : x
  2. Step 2: Convert to fraction form
    430,196/668,304 = 668,304/x
  3. Step 3: Cross multiply
    430,196x = 668,304 × 668,304
  4. Step 4: Simplify right side
    430,196x = 446,630,236,416
  5. Step 5: Solve for x
    x = 446,630,236,416/430,196
  6. Step 6: Final answer
    x = 1,038,201.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.