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Finding the Third Proportional to 145,430 and 209,461

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Solution

The third proportional to 145,430 and 209,461 is: 301,684.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,430 : 209,461 = 209,461 : x
  2. Step 2: Convert to fraction form
    145,430/209,461 = 209,461/x
  3. Step 3: Cross multiply
    145,430x = 209,461 × 209,461
  4. Step 4: Simplify right side
    145,430x = 43,873,910,521
  5. Step 5: Solve for x
    x = 43,873,910,521/145,430
  6. Step 6: Final answer
    x = 301,684.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.