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Finding the Third Proportional to 213,299,989.50 and 318,552,247.50

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Solution

The third proportional to 213,299,989.50 and 318,552,247.50 is: 475,740,925.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,299,989.50 : 318,552,247.50 = 318,552,247.50 : x
  2. Step 2: Convert to fraction form
    213,299,989.50/318,552,247.50 = 318,552,247.50/x
  3. Step 3: Cross multiply
    213,299,989.50x = 318,552,247.50 × 318,552,247.50
  4. Step 4: Simplify right side
    213,299,989.50x = 101,475,534,387,301,264
  5. Step 5: Solve for x
    x = 101,475,534,387,301,264/213,299,989.50
  6. Step 6: Final answer
    x = 475,740,925.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.