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Finding the Third Proportional to 473,623.50 and 642,980.25

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Solution

The third proportional to 473,623.50 and 642,980.25 is: 872,895.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,623.50 : 642,980.25 = 642,980.25 : x
  2. Step 2: Convert to fraction form
    473,623.50/642,980.25 = 642,980.25/x
  3. Step 3: Cross multiply
    473,623.50x = 642,980.25 × 642,980.25
  4. Step 4: Simplify right side
    473,623.50x = 413,423,601,890.06
  5. Step 5: Solve for x
    x = 413,423,601,890.06/473,623.50
  6. Step 6: Final answer
    x = 872,895.04

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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.