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Finding the Third Proportional to 544,284,190 and 840,492,033

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Solution

The third proportional to 544,284,190 and 840,492,033 is: 1,297,900,748.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,284,190 : 840,492,033 = 840,492,033 : x
  2. Step 2: Convert to fraction form
    544,284,190/840,492,033 = 840,492,033/x
  3. Step 3: Cross multiply
    544,284,190x = 840,492,033 × 840,492,033
  4. Step 4: Simplify right side
    544,284,190x = 706,426,857,536,473,088
  5. Step 5: Solve for x
    x = 706,426,857,536,473,088/544,284,190
  6. Step 6: Final answer
    x = 1,297,900,748.39

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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.