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Finding the Third Proportional to 407,221 and 877,547

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Solution

The third proportional to 407,221 and 877,547 is: 1,891,083.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,221 : 877,547 = 877,547 : x
  2. Step 2: Convert to fraction form
    407,221/877,547 = 877,547/x
  3. Step 3: Cross multiply
    407,221x = 877,547 × 877,547
  4. Step 4: Simplify right side
    407,221x = 770,088,737,209
  5. Step 5: Solve for x
    x = 770,088,737,209/407,221
  6. Step 6: Final answer
    x = 1,891,083.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.