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Finding the Third Proportional to 459,153 and 723,943

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Solution

The third proportional to 459,153 and 723,943 is: 1,141,435.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,153 : 723,943 = 723,943 : x
  2. Step 2: Convert to fraction form
    459,153/723,943 = 723,943/x
  3. Step 3: Cross multiply
    459,153x = 723,943 × 723,943
  4. Step 4: Simplify right side
    459,153x = 524,093,467,249
  5. Step 5: Solve for x
    x = 524,093,467,249/459,153
  6. Step 6: Final answer
    x = 1,141,435.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.