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Finding the Third Proportional to 354,663.84 and 497,663.72

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Solution

The third proportional to 354,663.84 and 497,663.72 is: 698,320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,663.84 : 497,663.72 = 497,663.72 : x
  2. Step 2: Convert to fraction form
    354,663.84/497,663.72 = 497,663.72/x
  3. Step 3: Cross multiply
    354,663.84x = 497,663.72 × 497,663.72
  4. Step 4: Simplify right side
    354,663.84x = 247,669,176,960.08
  5. Step 5: Solve for x
    x = 247,669,176,960.08/354,663.84
  6. Step 6: Final answer
    x = 698,320.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.