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Finding the Third Proportional to 145,417 and 307,600

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Solution

The third proportional to 145,417 and 307,600 is: 650,665.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,417 : 307,600 = 307,600 : x
  2. Step 2: Convert to fraction form
    145,417/307,600 = 307,600/x
  3. Step 3: Cross multiply
    145,417x = 307,600 × 307,600
  4. Step 4: Simplify right side
    145,417x = 94,617,760,000
  5. Step 5: Solve for x
    x = 94,617,760,000/145,417
  6. Step 6: Final answer
    x = 650,665.05

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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.