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Finding the Third Proportional to 513,004 and 769,778

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Solution

The third proportional to 513,004 and 769,778 is: 1,155,075.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,004 : 769,778 = 769,778 : x
  2. Step 2: Convert to fraction form
    513,004/769,778 = 769,778/x
  3. Step 3: Cross multiply
    513,004x = 769,778 × 769,778
  4. Step 4: Simplify right side
    513,004x = 592,558,169,284
  5. Step 5: Solve for x
    x = 592,558,169,284/513,004
  6. Step 6: Final answer
    x = 1,155,075.14

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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.