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Finding the Third Proportional to 560,538 and 870,335

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Solution

The third proportional to 560,538 and 870,335 is: 1,351,349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,538 : 870,335 = 870,335 : x
  2. Step 2: Convert to fraction form
    560,538/870,335 = 870,335/x
  3. Step 3: Cross multiply
    560,538x = 870,335 × 870,335
  4. Step 4: Simplify right side
    560,538x = 757,483,012,225
  5. Step 5: Solve for x
    x = 757,483,012,225/560,538
  6. Step 6: Final answer
    x = 1,351,349.97

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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.