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Finding the Third Proportional to 520,476.10 and 776,382.15

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Solution

The third proportional to 520,476.10 and 776,382.15 is: 1,158,111.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,476.10 : 776,382.15 = 776,382.15 : x
  2. Step 2: Convert to fraction form
    520,476.10/776,382.15 = 776,382.15/x
  3. Step 3: Cross multiply
    520,476.10x = 776,382.15 × 776,382.15
  4. Step 4: Simplify right side
    520,476.10x = 602,769,246,477.91
  5. Step 5: Solve for x
    x = 602,769,246,477.91/520,476.10
  6. Step 6: Final answer
    x = 1,158,111.29

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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.