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Finding the Third Proportional to 451,432 and 714,220

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Solution

The third proportional to 451,432 and 714,220 is: 1,129,982.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,432 : 714,220 = 714,220 : x
  2. Step 2: Convert to fraction form
    451,432/714,220 = 714,220/x
  3. Step 3: Cross multiply
    451,432x = 714,220 × 714,220
  4. Step 4: Simplify right side
    451,432x = 510,110,208,400
  5. Step 5: Solve for x
    x = 510,110,208,400/451,432
  6. Step 6: Final answer
    x = 1,129,982.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.