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Finding the Third Proportional to 645,432 and 1,402,807

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Solution

The third proportional to 645,432 and 1,402,807 is: 3,048,915.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,432 : 1,402,807 = 1,402,807 : x
  2. Step 2: Convert to fraction form
    645,432/1,402,807 = 1,402,807/x
  3. Step 3: Cross multiply
    645,432x = 1,402,807 × 1,402,807
  4. Step 4: Simplify right side
    645,432x = 1,967,867,479,249
  5. Step 5: Solve for x
    x = 1,967,867,479,249/645,432
  6. Step 6: Final answer
    x = 3,048,915.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.