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Finding the Third Proportional to 430,509 and 896,424

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Solution

The third proportional to 430,509 and 896,424 is: 1,866,571.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,509 : 896,424 = 896,424 : x
  2. Step 2: Convert to fraction form
    430,509/896,424 = 896,424/x
  3. Step 3: Cross multiply
    430,509x = 896,424 × 896,424
  4. Step 4: Simplify right side
    430,509x = 803,575,987,776
  5. Step 5: Solve for x
    x = 803,575,987,776/430,509
  6. Step 6: Final answer
    x = 1,866,571.87

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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.