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Finding the Third Proportional to 560,736 and 869,688

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Solution

The third proportional to 560,736 and 869,688 is: 1,348,865.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,736 : 869,688 = 869,688 : x
  2. Step 2: Convert to fraction form
    560,736/869,688 = 869,688/x
  3. Step 3: Cross multiply
    560,736x = 869,688 × 869,688
  4. Step 4: Simplify right side
    560,736x = 756,357,217,344
  5. Step 5: Solve for x
    x = 756,357,217,344/560,736
  6. Step 6: Final answer
    x = 1,348,865.09

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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.