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Finding the Third Proportional to 191,000 and 418,724

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Solution

The third proportional to 191,000 and 418,724 is: 917,957.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,000 : 418,724 = 418,724 : x
  2. Step 2: Convert to fraction form
    191,000/418,724 = 418,724/x
  3. Step 3: Cross multiply
    191,000x = 418,724 × 418,724
  4. Step 4: Simplify right side
    191,000x = 175,329,788,176
  5. Step 5: Solve for x
    x = 175,329,788,176/191,000
  6. Step 6: Final answer
    x = 917,957.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.