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Finding the Third Proportional to 417,214.50 and 856,547

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Solution

The third proportional to 417,214.50 and 856,547 is: 1,758,502.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,214.50 : 856,547 = 856,547 : x
  2. Step 2: Convert to fraction form
    417,214.50/856,547 = 856,547/x
  3. Step 3: Cross multiply
    417,214.50x = 856,547 × 856,547
  4. Step 4: Simplify right side
    417,214.50x = 733,672,763,209
  5. Step 5: Solve for x
    x = 733,672,763,209/417,214.50
  6. Step 6: Final answer
    x = 1,758,502.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.