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Finding the Third Proportional to 509,988.75 and 690,094.13

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Solution

The third proportional to 509,988.75 and 690,094.13 is: 933,804.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,988.75 : 690,094.13 = 690,094.13 : x
  2. Step 2: Convert to fraction form
    509,988.75/690,094.13 = 690,094.13/x
  3. Step 3: Cross multiply
    509,988.75x = 690,094.13 × 690,094.13
  4. Step 4: Simplify right side
    509,988.75x = 476,229,901,359.52
  5. Step 5: Solve for x
    x = 476,229,901,359.52/509,988.75
  6. Step 6: Final answer
    x = 933,804.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.