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Finding the Third Proportional to 507,206.25 and 808,789.50

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Solution

The third proportional to 507,206.25 and 808,789.50 is: 1,289,693.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,206.25 : 808,789.50 = 808,789.50 : x
  2. Step 2: Convert to fraction form
    507,206.25/808,789.50 = 808,789.50/x
  3. Step 3: Cross multiply
    507,206.25x = 808,789.50 × 808,789.50
  4. Step 4: Simplify right side
    507,206.25x = 654,140,455,310.25
  5. Step 5: Solve for x
    x = 654,140,455,310.25/507,206.25
  6. Step 6: Final answer
    x = 1,289,693.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.