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Finding the Third Proportional to 145,270 and 314,669

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Solution

The third proportional to 145,270 and 314,669 is: 681,603.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,270 : 314,669 = 314,669 : x
  2. Step 2: Convert to fraction form
    145,270/314,669 = 314,669/x
  3. Step 3: Cross multiply
    145,270x = 314,669 × 314,669
  4. Step 4: Simplify right side
    145,270x = 99,016,579,561
  5. Step 5: Solve for x
    x = 99,016,579,561/145,270
  6. Step 6: Final answer
    x = 681,603.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.