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Finding the Third Proportional to 200,831,432 and 310,335,774

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Solution

The third proportional to 200,831,432 and 310,335,774 is: 479,547,905.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,831,432 : 310,335,774 = 310,335,774 : x
  2. Step 2: Convert to fraction form
    200,831,432/310,335,774 = 310,335,774/x
  3. Step 3: Cross multiply
    200,831,432x = 310,335,774 × 310,335,774
  4. Step 4: Simplify right side
    200,831,432x = 96,308,292,624,179,072
  5. Step 5: Solve for x
    x = 96,308,292,624,179,072/200,831,432
  6. Step 6: Final answer
    x = 479,547,905.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.