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Finding the Third Proportional to 500,428 and 776,028

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Solution

The third proportional to 500,428 and 776,028 is: 1,203,408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,428 : 776,028 = 776,028 : x
  2. Step 2: Convert to fraction form
    500,428/776,028 = 776,028/x
  3. Step 3: Cross multiply
    500,428x = 776,028 × 776,028
  4. Step 4: Simplify right side
    500,428x = 602,219,456,784
  5. Step 5: Solve for x
    x = 602,219,456,784/500,428
  6. Step 6: Final answer
    x = 1,203,408.80

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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.