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Finding the Third Proportional to 513,426 and 799,146

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Solution

The third proportional to 513,426 and 799,146 is: 1,243,868.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,426 : 799,146 = 799,146 : x
  2. Step 2: Convert to fraction form
    513,426/799,146 = 799,146/x
  3. Step 3: Cross multiply
    513,426x = 799,146 × 799,146
  4. Step 4: Simplify right side
    513,426x = 638,634,329,316
  5. Step 5: Solve for x
    x = 638,634,329,316/513,426
  6. Step 6: Final answer
    x = 1,243,868.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.