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Finding the Third Proportional to 273,142 and 413,547

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Solution

The third proportional to 273,142 and 413,547 is: 626,125.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,142 : 413,547 = 413,547 : x
  2. Step 2: Convert to fraction form
    273,142/413,547 = 413,547/x
  3. Step 3: Cross multiply
    273,142x = 413,547 × 413,547
  4. Step 4: Simplify right side
    273,142x = 171,021,121,209
  5. Step 5: Solve for x
    x = 171,021,121,209/273,142
  6. Step 6: Final answer
    x = 626,125.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.