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Finding the Third Proportional to 284,258 and 390,531

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Solution

The third proportional to 284,258 and 390,531 is: 536,535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,258 : 390,531 = 390,531 : x
  2. Step 2: Convert to fraction form
    284,258/390,531 = 390,531/x
  3. Step 3: Cross multiply
    284,258x = 390,531 × 390,531
  4. Step 4: Simplify right side
    284,258x = 152,514,461,961
  5. Step 5: Solve for x
    x = 152,514,461,961/284,258
  6. Step 6: Final answer
    x = 536,535.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.