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Finding the Third Proportional to 517,357,387.50 and 781,407,408

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Solution

The third proportional to 517,357,387.50 and 781,407,408 is: 1,180,223,868.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,357,387.50 : 781,407,408 = 781,407,408 : x
  2. Step 2: Convert to fraction form
    517,357,387.50/781,407,408 = 781,407,408/x
  3. Step 3: Cross multiply
    517,357,387.50x = 781,407,408 × 781,407,408
  4. Step 4: Simplify right side
    517,357,387.50x = 610,597,537,277,278,464
  5. Step 5: Solve for x
    x = 610,597,537,277,278,464/517,357,387.50
  6. Step 6: Final answer
    x = 1,180,223,868.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.