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Finding the Third Proportional to 388,069.50 and 579,710.25

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Solution

The third proportional to 388,069.50 and 579,710.25 is: 865,989.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,069.50 : 579,710.25 = 579,710.25 : x
  2. Step 2: Convert to fraction form
    388,069.50/579,710.25 = 579,710.25/x
  3. Step 3: Cross multiply
    388,069.50x = 579,710.25 × 579,710.25
  4. Step 4: Simplify right side
    388,069.50x = 336,063,973,955.06
  5. Step 5: Solve for x
    x = 336,063,973,955.06/388,069.50
  6. Step 6: Final answer
    x = 865,989.14

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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.