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Finding the Third Proportional to 510,410,346 and 1,119,637,236

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Solution

The third proportional to 510,410,346 and 1,119,637,236 is: 2,456,038,656.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,410,346 : 1,119,637,236 = 1,119,637,236 : x
  2. Step 2: Convert to fraction form
    510,410,346/1,119,637,236 = 1,119,637,236/x
  3. Step 3: Cross multiply
    510,410,346x = 1,119,637,236 × 1,119,637,236
  4. Step 4: Simplify right side
    510,410,346x = 1,253,587,540,237,719,808
  5. Step 5: Solve for x
    x = 1,253,587,540,237,719,808/510,410,346
  6. Step 6: Final answer
    x = 2,456,038,656.08

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