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Finding the Third Proportional to 290,087.18 and 626,838.20

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Solution

The third proportional to 290,087.18 and 626,838.20 is: 1,354,510.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,087.18 : 626,838.20 = 626,838.20 : x
  2. Step 2: Convert to fraction form
    290,087.18/626,838.20 = 626,838.20/x
  3. Step 3: Cross multiply
    290,087.18x = 626,838.20 × 626,838.20
  4. Step 4: Simplify right side
    290,087.18x = 392,926,124,326.94
  5. Step 5: Solve for x
    x = 392,926,124,326.94/290,087.18
  6. Step 6: Final answer
    x = 1,354,510.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.