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Finding the Third Proportional to 145,354,784 and 223,420,815

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Solution

The third proportional to 145,354,784 and 223,420,815 is: 343,413,950.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,354,784 : 223,420,815 = 223,420,815 : x
  2. Step 2: Convert to fraction form
    145,354,784/223,420,815 = 223,420,815/x
  3. Step 3: Cross multiply
    145,354,784x = 223,420,815 × 223,420,815
  4. Step 4: Simplify right side
    145,354,784x = 49,916,860,575,264,224
  5. Step 5: Solve for x
    x = 49,916,860,575,264,224/145,354,784
  6. Step 6: Final answer
    x = 343,413,950.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.