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Finding the Third Proportional to 145,860 and 218,547

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Solution

The third proportional to 145,860 and 218,547 is: 327,456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,860 : 218,547 = 218,547 : x
  2. Step 2: Convert to fraction form
    145,860/218,547 = 218,547/x
  3. Step 3: Cross multiply
    145,860x = 218,547 × 218,547
  4. Step 4: Simplify right side
    145,860x = 47,762,791,209
  5. Step 5: Solve for x
    x = 47,762,791,209/145,860
  6. Step 6: Final answer
    x = 327,456.40

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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.