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Finding the Third Proportional to 144,390 and 216,585

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Solution

The third proportional to 144,390 and 216,585 is: 324,877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,390 : 216,585 = 216,585 : x
  2. Step 2: Convert to fraction form
    144,390/216,585 = 216,585/x
  3. Step 3: Cross multiply
    144,390x = 216,585 × 216,585
  4. Step 4: Simplify right side
    144,390x = 46,909,062,225
  5. Step 5: Solve for x
    x = 46,909,062,225/144,390
  6. Step 6: Final answer
    x = 324,877.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.