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Finding the Third Proportional to 291,685 and 623,830

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Solution

The third proportional to 291,685 and 623,830 is: 1,334,192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,685 : 623,830 = 623,830 : x
  2. Step 2: Convert to fraction form
    291,685/623,830 = 623,830/x
  3. Step 3: Cross multiply
    291,685x = 623,830 × 623,830
  4. Step 4: Simplify right side
    291,685x = 389,163,868,900
  5. Step 5: Solve for x
    x = 389,163,868,900/291,685
  6. Step 6: Final answer
    x = 1,334,192.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.