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Finding the Third Proportional to 338,015,878 and 712,346,890

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Solution

The third proportional to 338,015,878 and 712,346,890 is: 1,501,225,607.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,015,878 : 712,346,890 = 712,346,890 : x
  2. Step 2: Convert to fraction form
    338,015,878/712,346,890 = 712,346,890/x
  3. Step 3: Cross multiply
    338,015,878x = 712,346,890 × 712,346,890
  4. Step 4: Simplify right side
    338,015,878x = 507,438,091,692,672,128
  5. Step 5: Solve for x
    x = 507,438,091,692,672,128/338,015,878
  6. Step 6: Final answer
    x = 1,501,225,607.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.