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Finding the Third Proportional to 423,547 and 621,191

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Solution

The third proportional to 423,547 and 621,191 is: 911,063.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,547 : 621,191 = 621,191 : x
  2. Step 2: Convert to fraction form
    423,547/621,191 = 621,191/x
  3. Step 3: Cross multiply
    423,547x = 621,191 × 621,191
  4. Step 4: Simplify right side
    423,547x = 385,878,258,481
  5. Step 5: Solve for x
    x = 385,878,258,481/423,547
  6. Step 6: Final answer
    x = 911,063.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.