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Finding the Third Proportional to 517,357,390 and 781,407,411

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Solution

The third proportional to 517,357,390 and 781,407,411 is: 1,180,223,871.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,357,390 : 781,407,411 = 781,407,411 : x
  2. Step 2: Convert to fraction form
    517,357,390/781,407,411 = 781,407,411/x
  3. Step 3: Cross multiply
    517,357,390x = 781,407,411 × 781,407,411
  4. Step 4: Simplify right side
    517,357,390x = 610,597,541,965,722,880
  5. Step 5: Solve for x
    x = 610,597,541,965,722,880/517,357,390
  6. Step 6: Final answer
    x = 1,180,223,871.87

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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.