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Finding the Third Proportional to 285,904.69 and 609,808.50

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Solution

The third proportional to 285,904.69 and 609,808.50 is: 1,300,665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,904.69 : 609,808.50 = 609,808.50 : x
  2. Step 2: Convert to fraction form
    285,904.69/609,808.50 = 609,808.50/x
  3. Step 3: Cross multiply
    285,904.69x = 609,808.50 × 609,808.50
  4. Step 4: Simplify right side
    285,904.69x = 371,866,406,672.25
  5. Step 5: Solve for x
    x = 371,866,406,672.25/285,904.69
  6. Step 6: Final answer
    x = 1,300,665.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.