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Finding the Third Proportional to 145,421 and 307,609

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Solution

The third proportional to 145,421 and 307,609 is: 650,685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,421 : 307,609 = 307,609 : x
  2. Step 2: Convert to fraction form
    145,421/307,609 = 307,609/x
  3. Step 3: Cross multiply
    145,421x = 307,609 × 307,609
  4. Step 4: Simplify right side
    145,421x = 94,623,296,881
  5. Step 5: Solve for x
    x = 94,623,296,881/145,421
  6. Step 6: Final answer
    x = 650,685.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.