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Finding the Third Proportional to 378,954,386 and 829,341,865

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Solution

The third proportional to 378,954,386 and 829,341,865 is: 1,815,015,090.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,954,386 : 829,341,865 = 829,341,865 : x
  2. Step 2: Convert to fraction form
    378,954,386/829,341,865 = 829,341,865/x
  3. Step 3: Cross multiply
    378,954,386x = 829,341,865 × 829,341,865
  4. Step 4: Simplify right side
    378,954,386x = 687,807,929,041,678,208
  5. Step 5: Solve for x
    x = 687,807,929,041,678,208/378,954,386
  6. Step 6: Final answer
    x = 1,815,015,090.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.