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Finding the Third Proportional to 284,547 and 426,078

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Solution

The third proportional to 284,547 and 426,078 is: 638,005.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,547 : 426,078 = 426,078 : x
  2. Step 2: Convert to fraction form
    284,547/426,078 = 426,078/x
  3. Step 3: Cross multiply
    284,547x = 426,078 × 426,078
  4. Step 4: Simplify right side
    284,547x = 181,542,462,084
  5. Step 5: Solve for x
    x = 181,542,462,084/284,547
  6. Step 6: Final answer
    x = 638,005.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.