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Finding the Third Proportional to 200,831,428 and 310,335,768

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Solution

The third proportional to 200,831,428 and 310,335,768 is: 479,547,896.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,831,428 : 310,335,768 = 310,335,768 : x
  2. Step 2: Convert to fraction form
    200,831,428/310,335,768 = 310,335,768/x
  3. Step 3: Cross multiply
    200,831,428x = 310,335,768 × 310,335,768
  4. Step 4: Simplify right side
    200,831,428x = 96,308,288,900,149,824
  5. Step 5: Solve for x
    x = 96,308,288,900,149,824/200,831,428
  6. Step 6: Final answer
    x = 479,547,896.76

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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.