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Finding the Third Proportional to 473,877 and 685,854

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Solution

The third proportional to 473,877 and 685,854 is: 992,653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,877 : 685,854 = 685,854 : x
  2. Step 2: Convert to fraction form
    473,877/685,854 = 685,854/x
  3. Step 3: Cross multiply
    473,877x = 685,854 × 685,854
  4. Step 4: Simplify right side
    473,877x = 470,395,709,316
  5. Step 5: Solve for x
    x = 470,395,709,316/473,877
  6. Step 6: Final answer
    x = 992,653.60

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.