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Finding the Third Proportional to 473,831,112 and 1,056,549,552

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Solution

The third proportional to 473,831,112 and 1,056,549,552 is: 2,355,896,283.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,831,112 : 1,056,549,552 = 1,056,549,552 : x
  2. Step 2: Convert to fraction form
    473,831,112/1,056,549,552 = 1,056,549,552/x
  3. Step 3: Cross multiply
    473,831,112x = 1,056,549,552 × 1,056,549,552
  4. Step 4: Simplify right side
    473,831,112x = 1,116,296,955,831,400,704
  5. Step 5: Solve for x
    x = 1,116,296,955,831,400,704/473,831,112
  6. Step 6: Final answer
    x = 2,355,896,283.63

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.