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Finding the Third Proportional to 347,280,415.50 and 723,140,547

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Solution

The third proportional to 347,280,415.50 and 723,140,547 is: 1,505,792,516.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,280,415.50 : 723,140,547 = 723,140,547 : x
  2. Step 2: Convert to fraction form
    347,280,415.50/723,140,547 = 723,140,547/x
  3. Step 3: Cross multiply
    347,280,415.50x = 723,140,547 × 723,140,547
  4. Step 4: Simplify right side
    347,280,415.50x = 522,932,250,715,459,200
  5. Step 5: Solve for x
    x = 522,932,250,715,459,200/347,280,415.50
  6. Step 6: Final answer
    x = 1,505,792,516.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.