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Finding the Third Proportional to 145,607 and 319,765

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Solution

The third proportional to 145,607 and 319,765 is: 702,230.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,607 : 319,765 = 319,765 : x
  2. Step 2: Convert to fraction form
    145,607/319,765 = 319,765/x
  3. Step 3: Cross multiply
    145,607x = 319,765 × 319,765
  4. Step 4: Simplify right side
    145,607x = 102,249,655,225
  5. Step 5: Solve for x
    x = 102,249,655,225/145,607
  6. Step 6: Final answer
    x = 702,230.35

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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.