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Finding the Third Proportional to 145,420 and 307,604

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Solution

The third proportional to 145,420 and 307,604 is: 650,668.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,420 : 307,604 = 307,604 : x
  2. Step 2: Convert to fraction form
    145,420/307,604 = 307,604/x
  3. Step 3: Cross multiply
    145,420x = 307,604 × 307,604
  4. Step 4: Simplify right side
    145,420x = 94,620,220,816
  5. Step 5: Solve for x
    x = 94,620,220,816/145,420
  6. Step 6: Final answer
    x = 650,668.55

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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.