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Finding the Third Proportional to 272,760,243.50 and 598,328,274.50

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Solution

The third proportional to 272,760,243.50 and 598,328,274.50 is: 1,312,495,983.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,760,243.50 : 598,328,274.50 = 598,328,274.50 : x
  2. Step 2: Convert to fraction form
    272,760,243.50/598,328,274.50 = 598,328,274.50/x
  3. Step 3: Cross multiply
    272,760,243.50x = 598,328,274.50 × 598,328,274.50
  4. Step 4: Simplify right side
    272,760,243.50x = 357,996,724,066,147,328
  5. Step 5: Solve for x
    x = 357,996,724,066,147,328/272,760,243.50
  6. Step 6: Final answer
    x = 1,312,495,983.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.