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Finding the Third Proportional to 553,866 and 829,875

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Solution

The third proportional to 553,866 and 829,875 is: 1,243,428.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,866 : 829,875 = 829,875 : x
  2. Step 2: Convert to fraction form
    553,866/829,875 = 829,875/x
  3. Step 3: Cross multiply
    553,866x = 829,875 × 829,875
  4. Step 4: Simplify right side
    553,866x = 688,692,515,625
  5. Step 5: Solve for x
    x = 688,692,515,625/553,866
  6. Step 6: Final answer
    x = 1,243,428.04

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