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Finding the Third Proportional to 450,136 and 696,769

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Solution

The third proportional to 450,136 and 696,769 is: 1,078,534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,136 : 696,769 = 696,769 : x
  2. Step 2: Convert to fraction form
    450,136/696,769 = 696,769/x
  3. Step 3: Cross multiply
    450,136x = 696,769 × 696,769
  4. Step 4: Simplify right side
    450,136x = 485,487,039,361
  5. Step 5: Solve for x
    x = 485,487,039,361/450,136
  6. Step 6: Final answer
    x = 1,078,534.13

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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.