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Finding the Third Proportional to 645,672 and 1,500,420

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Solution

The third proportional to 645,672 and 1,500,420 is: 3,486,693.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,672 : 1,500,420 = 1,500,420 : x
  2. Step 2: Convert to fraction form
    645,672/1,500,420 = 1,500,420/x
  3. Step 3: Cross multiply
    645,672x = 1,500,420 × 1,500,420
  4. Step 4: Simplify right side
    645,672x = 2,251,260,176,400
  5. Step 5: Solve for x
    x = 2,251,260,176,400/645,672
  6. Step 6: Final answer
    x = 3,486,693.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.