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Finding the Third Proportional to 129,075.61 and 279,602.93

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Solution

The third proportional to 129,075.61 and 279,602.93 is: 605,674.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,075.61 : 279,602.93 = 279,602.93 : x
  2. Step 2: Convert to fraction form
    129,075.61/279,602.93 = 279,602.93/x
  3. Step 3: Cross multiply
    129,075.61x = 279,602.93 × 279,602.93
  4. Step 4: Simplify right side
    129,075.61x = 78,177,798,289.83
  5. Step 5: Solve for x
    x = 78,177,798,289.83/129,075.61
  6. Step 6: Final answer
    x = 605,674.45

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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.