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Finding the Third Proportional to 500,818 and 775,528

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Solution

The third proportional to 500,818 and 775,528 is: 1,200,922.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,818 : 775,528 = 775,528 : x
  2. Step 2: Convert to fraction form
    500,818/775,528 = 775,528/x
  3. Step 3: Cross multiply
    500,818x = 775,528 × 775,528
  4. Step 4: Simplify right side
    500,818x = 601,443,678,784
  5. Step 5: Solve for x
    x = 601,443,678,784/500,818
  6. Step 6: Final answer
    x = 1,200,922.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.