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Finding the Third Proportional to 459,422,280 and 1,008,113,323.50

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Solution

The third proportional to 459,422,280 and 1,008,113,323.50 is: 2,212,109,680.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,422,280 : 1,008,113,323.50 = 1,008,113,323.50 : x
  2. Step 2: Convert to fraction form
    459,422,280/1,008,113,323.50 = 1,008,113,323.50/x
  3. Step 3: Cross multiply
    459,422,280x = 1,008,113,323.50 × 1,008,113,323.50
  4. Step 4: Simplify right side
    459,422,280x = 1,016,292,473,018,215,680
  5. Step 5: Solve for x
    x = 1,016,292,473,018,215,680/459,422,280
  6. Step 6: Final answer
    x = 2,212,109,680.48

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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.