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Finding the Third Proportional to 286,913 and 442,713.50

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Solution

The third proportional to 286,913 and 442,713.50 is: 683,117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,913 : 442,713.50 = 442,713.50 : x
  2. Step 2: Convert to fraction form
    286,913/442,713.50 = 442,713.50/x
  3. Step 3: Cross multiply
    286,913x = 442,713.50 × 442,713.50
  4. Step 4: Simplify right side
    286,913x = 195,995,243,082.25
  5. Step 5: Solve for x
    x = 195,995,243,082.25/286,913
  6. Step 6: Final answer
    x = 683,117.33

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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.