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Finding the Third Proportional to 305,681.63 and 719,256.38

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Solution

The third proportional to 305,681.63 and 719,256.38 is: 1,692,380.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,681.63 : 719,256.38 = 719,256.38 : x
  2. Step 2: Convert to fraction form
    305,681.63/719,256.38 = 719,256.38/x
  3. Step 3: Cross multiply
    305,681.63x = 719,256.38 × 719,256.38
  4. Step 4: Simplify right side
    305,681.63x = 517,329,732,978.14
  5. Step 5: Solve for x
    x = 517,329,732,978.14/305,681.63
  6. Step 6: Final answer
    x = 1,692,380.87

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.