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Finding the Third Proportional to 386,977,876 and 841,977,680

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Solution

The third proportional to 386,977,876 and 841,977,680 is: 1,831,955,927.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,977,876 : 841,977,680 = 841,977,680 : x
  2. Step 2: Convert to fraction form
    386,977,876/841,977,680 = 841,977,680/x
  3. Step 3: Cross multiply
    386,977,876x = 841,977,680 × 841,977,680
  4. Step 4: Simplify right side
    386,977,876x = 708,926,413,618,182,400
  5. Step 5: Solve for x
    x = 708,926,413,618,182,400/386,977,876
  6. Step 6: Final answer
    x = 1,831,955,927.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.