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Finding the Third Proportional to 215,329,809 and 334,066,807.50

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Solution

The third proportional to 215,329,809 and 334,066,807.50 is: 518,277,670.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,329,809 : 334,066,807.50 = 334,066,807.50 : x
  2. Step 2: Convert to fraction form
    215,329,809/334,066,807.50 = 334,066,807.50/x
  3. Step 3: Cross multiply
    215,329,809x = 334,066,807.50 × 334,066,807.50
  4. Step 4: Simplify right side
    215,329,809x = 111,600,631,873,242,064
  5. Step 5: Solve for x
    x = 111,600,631,873,242,064/215,329,809
  6. Step 6: Final answer
    x = 518,277,670.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.