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Finding the Third Proportional to 178,398 and 371,547

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Solution

The third proportional to 178,398 and 371,547 is: 773,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,398 : 371,547 = 371,547 : x
  2. Step 2: Convert to fraction form
    178,398/371,547 = 371,547/x
  3. Step 3: Cross multiply
    178,398x = 371,547 × 371,547
  4. Step 4: Simplify right side
    178,398x = 138,047,173,209
  5. Step 5: Solve for x
    x = 138,047,173,209/178,398
  6. Step 6: Final answer
    x = 773,815.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.