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Finding the Third Proportional to 180,322 and 389,547

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Solution

The third proportional to 180,322 and 389,547 is: 841,532.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,322 : 389,547 = 389,547 : x
  2. Step 2: Convert to fraction form
    180,322/389,547 = 389,547/x
  3. Step 3: Cross multiply
    180,322x = 389,547 × 389,547
  4. Step 4: Simplify right side
    180,322x = 151,746,865,209
  5. Step 5: Solve for x
    x = 151,746,865,209/180,322
  6. Step 6: Final answer
    x = 841,532.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.