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Finding the Third Proportional to 92,423,580 and 200,258,840

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Solution

The third proportional to 92,423,580 and 200,258,840 is: 433,910,945.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,423,580 : 200,258,840 = 200,258,840 : x
  2. Step 2: Convert to fraction form
    92,423,580/200,258,840 = 200,258,840/x
  3. Step 3: Cross multiply
    92,423,580x = 200,258,840 × 200,258,840
  4. Step 4: Simplify right side
    92,423,580x = 40,103,602,998,145,600
  5. Step 5: Solve for x
    x = 40,103,602,998,145,600/92,423,580
  6. Step 6: Final answer
    x = 433,910,945.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.