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Finding the Third Proportional to 553,828.50 and 829,821.75

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Solution

The third proportional to 553,828.50 and 829,821.75 is: 1,243,352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,828.50 : 829,821.75 = 829,821.75 : x
  2. Step 2: Convert to fraction form
    553,828.50/829,821.75 = 829,821.75/x
  3. Step 3: Cross multiply
    553,828.50x = 829,821.75 × 829,821.75
  4. Step 4: Simplify right side
    553,828.50x = 688,604,136,773.06
  5. Step 5: Solve for x
    x = 688,604,136,773.06/553,828.50
  6. Step 6: Final answer
    x = 1,243,352.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.