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Finding the Third Proportional to 475,813.50 and 645,898.50

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Solution

The third proportional to 475,813.50 and 645,898.50 is: 876,782.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,813.50 : 645,898.50 = 645,898.50 : x
  2. Step 2: Convert to fraction form
    475,813.50/645,898.50 = 645,898.50/x
  3. Step 3: Cross multiply
    475,813.50x = 645,898.50 × 645,898.50
  4. Step 4: Simplify right side
    475,813.50x = 417,184,872,302.25
  5. Step 5: Solve for x
    x = 417,184,872,302.25/475,813.50
  6. Step 6: Final answer
    x = 876,782.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.