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Finding the Third Proportional to 553,259 and 854,445

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Solution

The third proportional to 553,259 and 854,445 is: 1,319,592.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,259 : 854,445 = 854,445 : x
  2. Step 2: Convert to fraction form
    553,259/854,445 = 854,445/x
  3. Step 3: Cross multiply
    553,259x = 854,445 × 854,445
  4. Step 4: Simplify right side
    553,259x = 730,076,258,025
  5. Step 5: Solve for x
    x = 730,076,258,025/553,259
  6. Step 6: Final answer
    x = 1,319,592.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.