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Finding the Third Proportional to 544,284,193.50 and 840,492,036

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Solution

The third proportional to 544,284,193.50 and 840,492,036 is: 1,297,900,749.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,284,193.50 : 840,492,036 = 840,492,036 : x
  2. Step 2: Convert to fraction form
    544,284,193.50/840,492,036 = 840,492,036/x
  3. Step 3: Cross multiply
    544,284,193.50x = 840,492,036 × 840,492,036
  4. Step 4: Simplify right side
    544,284,193.50x = 706,426,862,579,425,280
  5. Step 5: Solve for x
    x = 706,426,862,579,425,280/544,284,193.50
  6. Step 6: Final answer
    x = 1,297,900,749.31

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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.