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Finding the Third Proportional to 290,935,282.50 and 435,977,344.50

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Solution

The third proportional to 290,935,282.50 and 435,977,344.50 is: 653,328,270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,935,282.50 : 435,977,344.50 = 435,977,344.50 : x
  2. Step 2: Convert to fraction form
    290,935,282.50/435,977,344.50 = 435,977,344.50/x
  3. Step 3: Cross multiply
    290,935,282.50x = 435,977,344.50 × 435,977,344.50
  4. Step 4: Simplify right side
    290,935,282.50x = 190,076,244,917,271,680
  5. Step 5: Solve for x
    x = 190,076,244,917,271,680/290,935,282.50
  6. Step 6: Final answer
    x = 653,328,270.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.