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Finding the Third Proportional to 553,820 and 829,808

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Solution

The third proportional to 553,820 and 829,808 is: 1,243,330.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,820 : 829,808 = 829,808 : x
  2. Step 2: Convert to fraction form
    553,820/829,808 = 829,808/x
  3. Step 3: Cross multiply
    553,820x = 829,808 × 829,808
  4. Step 4: Simplify right side
    553,820x = 688,581,316,864
  5. Step 5: Solve for x
    x = 688,581,316,864/553,820
  6. Step 6: Final answer
    x = 1,243,330.53

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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.