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Finding the Third Proportional to 286,908.19 and 442,705.50

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Solution

The third proportional to 286,908.19 and 442,705.50 is: 683,104.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,908.19 : 442,705.50 = 442,705.50 : x
  2. Step 2: Convert to fraction form
    286,908.19/442,705.50 = 442,705.50/x
  3. Step 3: Cross multiply
    286,908.19x = 442,705.50 × 442,705.50
  4. Step 4: Simplify right side
    286,908.19x = 195,988,159,730.25
  5. Step 5: Solve for x
    x = 195,988,159,730.25/286,908.19
  6. Step 6: Final answer
    x = 683,104.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.