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Finding the Third Proportional to 355,861.50 and 777,387

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Solution

The third proportional to 355,861.50 and 777,387 is: 1,698,218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,861.50 : 777,387 = 777,387 : x
  2. Step 2: Convert to fraction form
    355,861.50/777,387 = 777,387/x
  3. Step 3: Cross multiply
    355,861.50x = 777,387 × 777,387
  4. Step 4: Simplify right side
    355,861.50x = 604,330,547,769
  5. Step 5: Solve for x
    x = 604,330,547,769/355,861.50
  6. Step 6: Final answer
    x = 1,698,218.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.