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Finding the Third Proportional to 215,898,302.25 and 307,698,637.50

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Solution

The third proportional to 215,898,302.25 and 307,698,637.50 is: 438,532,635.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,898,302.25 : 307,698,637.50 = 307,698,637.50 : x
  2. Step 2: Convert to fraction form
    215,898,302.25/307,698,637.50 = 307,698,637.50/x
  3. Step 3: Cross multiply
    215,898,302.25x = 307,698,637.50 × 307,698,637.50
  4. Step 4: Simplify right side
    215,898,302.25x = 94,678,451,519,356,400
  5. Step 5: Solve for x
    x = 94,678,451,519,356,400/215,898,302.25
  6. Step 6: Final answer
    x = 438,532,635.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.