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Finding the Third Proportional to 760,122.56 and 1,651,665.94

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Solution

The third proportional to 760,122.56 and 1,651,665.94 is: 3,588,895.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,122.56 : 1,651,665.94 = 1,651,665.94 : x
  2. Step 2: Convert to fraction form
    760,122.56/1,651,665.94 = 1,651,665.94/x
  3. Step 3: Cross multiply
    760,122.56x = 1,651,665.94 × 1,651,665.94
  4. Step 4: Simplify right side
    760,122.56x = 2,728,000,369,097.75
  5. Step 5: Solve for x
    x = 2,728,000,369,097.75/760,122.56
  6. Step 6: Final answer
    x = 3,588,895.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.