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Finding the Third Proportional to 208,562,782.50 and 315,528,442.50

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Solution

The third proportional to 208,562,782.50 and 315,528,442.50 is: 477,353,614.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,562,782.50 : 315,528,442.50 = 315,528,442.50 : x
  2. Step 2: Convert to fraction form
    208,562,782.50/315,528,442.50 = 315,528,442.50/x
  3. Step 3: Cross multiply
    208,562,782.50x = 315,528,442.50 × 315,528,442.50
  4. Step 4: Simplify right side
    208,562,782.50x = 99,558,198,026,475,808
  5. Step 5: Solve for x
    x = 99,558,198,026,475,808/208,562,782.50
  6. Step 6: Final answer
    x = 477,353,614.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.