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Finding the Third Proportional to 145,418 and 307,603

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Solution

The third proportional to 145,418 and 307,603 is: 650,673.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,418 : 307,603 = 307,603 : x
  2. Step 2: Convert to fraction form
    145,418/307,603 = 307,603/x
  3. Step 3: Cross multiply
    145,418x = 307,603 × 307,603
  4. Step 4: Simplify right side
    145,418x = 94,619,605,609
  5. Step 5: Solve for x
    x = 94,619,605,609/145,418
  6. Step 6: Final answer
    x = 650,673.27

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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.