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Finding the Third Proportional to 430,456 and 849,896

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Solution

The third proportional to 430,456 and 849,896 is: 1,678,041.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,456 : 849,896 = 849,896 : x
  2. Step 2: Convert to fraction form
    430,456/849,896 = 849,896/x
  3. Step 3: Cross multiply
    430,456x = 849,896 × 849,896
  4. Step 4: Simplify right side
    430,456x = 722,323,210,816
  5. Step 5: Solve for x
    x = 722,323,210,816/430,456
  6. Step 6: Final answer
    x = 1,678,041.92

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.