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Finding the Third Proportional to 215,502,946 and 328,635,043

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Solution

The third proportional to 215,502,946 and 328,635,043 is: 501,157,842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,502,946 : 328,635,043 = 328,635,043 : x
  2. Step 2: Convert to fraction form
    215,502,946/328,635,043 = 328,635,043/x
  3. Step 3: Cross multiply
    215,502,946x = 328,635,043 × 328,635,043
  4. Step 4: Simplify right side
    215,502,946x = 108,000,991,487,611,856
  5. Step 5: Solve for x
    x = 108,000,991,487,611,856/215,502,946
  6. Step 6: Final answer
    x = 501,157,842.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.