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Finding the Third Proportional to 132,344,748 and 200,219,253

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Solution

The third proportional to 132,344,748 and 200,219,253 is: 302,903,967.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,344,748 : 200,219,253 = 200,219,253 : x
  2. Step 2: Convert to fraction form
    132,344,748/200,219,253 = 200,219,253/x
  3. Step 3: Cross multiply
    132,344,748x = 200,219,253 × 200,219,253
  4. Step 4: Simplify right side
    132,344,748x = 40,087,749,271,878,008
  5. Step 5: Solve for x
    x = 40,087,749,271,878,008/132,344,748
  6. Step 6: Final answer
    x = 302,903,967.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.