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Finding the Third Proportional to 78,035,859 and 180,707,841

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Solution

The third proportional to 78,035,859 and 180,707,841 is: 418,465,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,035,859 : 180,707,841 = 180,707,841 : x
  2. Step 2: Convert to fraction form
    78,035,859/180,707,841 = 180,707,841/x
  3. Step 3: Cross multiply
    78,035,859x = 180,707,841 × 180,707,841
  4. Step 4: Simplify right side
    78,035,859x = 32,655,323,798,881,280
  5. Step 5: Solve for x
    x = 32,655,323,798,881,280/78,035,859
  6. Step 6: Final answer
    x = 418,465,615.90

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.