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Finding the Third Proportional to 290,312 and 642,832

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Solution

The third proportional to 290,312 and 642,832 is: 1,423,409.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,312 : 642,832 = 642,832 : x
  2. Step 2: Convert to fraction form
    290,312/642,832 = 642,832/x
  3. Step 3: Cross multiply
    290,312x = 642,832 × 642,832
  4. Step 4: Simplify right side
    290,312x = 413,232,980,224
  5. Step 5: Solve for x
    x = 413,232,980,224/290,312
  6. Step 6: Final answer
    x = 1,423,409.92

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.