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Finding the Third Proportional to 430,507 and 896,420

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Solution

The third proportional to 430,507 and 896,420 is: 1,866,563.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,507 : 896,420 = 896,420 : x
  2. Step 2: Convert to fraction form
    430,507/896,420 = 896,420/x
  3. Step 3: Cross multiply
    430,507x = 896,420 × 896,420
  4. Step 4: Simplify right side
    430,507x = 803,568,816,400
  5. Step 5: Solve for x
    x = 803,568,816,400/430,507
  6. Step 6: Final answer
    x = 1,866,563.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.