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Finding the Third Proportional to 145,935.84 and 320,603.91

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Solution

The third proportional to 145,935.84 and 320,603.91 is: 704,329.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,935.84 : 320,603.91 = 320,603.91 : x
  2. Step 2: Convert to fraction form
    145,935.84/320,603.91 = 320,603.91/x
  3. Step 3: Cross multiply
    145,935.84x = 320,603.91 × 320,603.91
  4. Step 4: Simplify right side
    145,935.84x = 102,786,864,702.76
  5. Step 5: Solve for x
    x = 102,786,864,702.76/145,935.84
  6. Step 6: Final answer
    x = 704,329.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.