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Finding the Third Proportional to 272,526,823.69 and 422,803,354.50

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Solution

The third proportional to 272,526,823.69 and 422,803,354.50 is: 655,945,253.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,526,823.69 : 422,803,354.50 = 422,803,354.50 : x
  2. Step 2: Convert to fraction form
    272,526,823.69/422,803,354.50 = 422,803,354.50/x
  3. Step 3: Cross multiply
    272,526,823.69x = 422,803,354.50 × 422,803,354.50
  4. Step 4: Simplify right side
    272,526,823.69x = 178,762,676,576,452,672
  5. Step 5: Solve for x
    x = 178,762,676,576,452,672/272,526,823.69
  6. Step 6: Final answer
    x = 655,945,253.97

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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.