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Finding the Third Proportional to 641,784 and 997,776

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Solution

The third proportional to 641,784 and 997,776 is: 1,551,233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,784 : 997,776 = 997,776 : x
  2. Step 2: Convert to fraction form
    641,784/997,776 = 997,776/x
  3. Step 3: Cross multiply
    641,784x = 997,776 × 997,776
  4. Step 4: Simplify right side
    641,784x = 995,556,946,176
  5. Step 5: Solve for x
    x = 995,556,946,176/641,784
  6. Step 6: Final answer
    x = 1,551,233.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.