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Finding the Third Proportional to 356,859 and 484,420.50

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Solution

The third proportional to 356,859 and 484,420.50 is: 657,579.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,859 : 484,420.50 = 484,420.50 : x
  2. Step 2: Convert to fraction form
    356,859/484,420.50 = 484,420.50/x
  3. Step 3: Cross multiply
    356,859x = 484,420.50 × 484,420.50
  4. Step 4: Simplify right side
    356,859x = 234,663,220,820.25
  5. Step 5: Solve for x
    x = 234,663,220,820.25/356,859
  6. Step 6: Final answer
    x = 657,579.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.