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Finding the Third Proportional to 449,770 and 643,176.50

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Solution

The third proportional to 449,770 and 643,176.50 is: 919,750.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,770 : 643,176.50 = 643,176.50 : x
  2. Step 2: Convert to fraction form
    449,770/643,176.50 = 643,176.50/x
  3. Step 3: Cross multiply
    449,770x = 643,176.50 × 643,176.50
  4. Step 4: Simplify right side
    449,770x = 413,676,010,152.25
  5. Step 5: Solve for x
    x = 413,676,010,152.25/449,770
  6. Step 6: Final answer
    x = 919,750.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.