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Finding the Third Proportional to 520,030 and 776,643

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Solution

The third proportional to 520,030 and 776,643 is: 1,159,883.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,030 : 776,643 = 776,643 : x
  2. Step 2: Convert to fraction form
    520,030/776,643 = 776,643/x
  3. Step 3: Cross multiply
    520,030x = 776,643 × 776,643
  4. Step 4: Simplify right side
    520,030x = 603,174,349,449
  5. Step 5: Solve for x
    x = 603,174,349,449/520,030
  6. Step 6: Final answer
    x = 1,159,883.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.