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Finding the Third Proportional to 145,040 and 307,504

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Solution

The third proportional to 145,040 and 307,504 is: 651,949.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,040 : 307,504 = 307,504 : x
  2. Step 2: Convert to fraction form
    145,040/307,504 = 307,504/x
  3. Step 3: Cross multiply
    145,040x = 307,504 × 307,504
  4. Step 4: Simplify right side
    145,040x = 94,558,710,016
  5. Step 5: Solve for x
    x = 94,558,710,016/145,040
  6. Step 6: Final answer
    x = 651,949.19

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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.