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Finding the Third Proportional to 506,628 and 776,790

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Solution

The third proportional to 506,628 and 776,790 is: 1,191,017.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,628 : 776,790 = 776,790 : x
  2. Step 2: Convert to fraction form
    506,628/776,790 = 776,790/x
  3. Step 3: Cross multiply
    506,628x = 776,790 × 776,790
  4. Step 4: Simplify right side
    506,628x = 603,402,704,100
  5. Step 5: Solve for x
    x = 603,402,704,100/506,628
  6. Step 6: Final answer
    x = 1,191,017.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.