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Finding the Third Proportional to 220,547 and 478,434

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Solution

The third proportional to 220,547 and 478,434 is: 1,037,869.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,547 : 478,434 = 478,434 : x
  2. Step 2: Convert to fraction form
    220,547/478,434 = 478,434/x
  3. Step 3: Cross multiply
    220,547x = 478,434 × 478,434
  4. Step 4: Simplify right side
    220,547x = 228,899,092,356
  5. Step 5: Solve for x
    x = 228,899,092,356/220,547
  6. Step 6: Final answer
    x = 1,037,869.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.