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Finding the Third Proportional to 553,818 and 829,804

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Solution

The third proportional to 553,818 and 829,804 is: 1,243,323.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,818 : 829,804 = 829,804 : x
  2. Step 2: Convert to fraction form
    553,818/829,804 = 829,804/x
  3. Step 3: Cross multiply
    553,818x = 829,804 × 829,804
  4. Step 4: Simplify right side
    553,818x = 688,574,678,416
  5. Step 5: Solve for x
    x = 688,574,678,416/553,818
  6. Step 6: Final answer
    x = 1,243,323.04

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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.