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Finding the Third Proportional to 432,678 and 645,426

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Solution

The third proportional to 432,678 and 645,426 is: 962,782.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,678 : 645,426 = 645,426 : x
  2. Step 2: Convert to fraction form
    432,678/645,426 = 645,426/x
  3. Step 3: Cross multiply
    432,678x = 645,426 × 645,426
  4. Step 4: Simplify right side
    432,678x = 416,574,721,476
  5. Step 5: Solve for x
    x = 416,574,721,476/432,678
  6. Step 6: Final answer
    x = 962,782.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.