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Finding the Third Proportional to 103,635,005,672 and 159,223,732,140

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Solution

The third proportional to 103,635,005,672 and 159,223,732,140 is: 244,629,666,512.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,635,005,672 : 159,223,732,140 = 159,223,732,140 : x
  2. Step 2: Convert to fraction form
    103,635,005,672/159,223,732,140 = 159,223,732,140/x
  3. Step 3: Cross multiply
    103,635,005,672x = 159,223,732,140 × 159,223,732,140
  4. Step 4: Simplify right side
    103,635,005,672x = 25,352,196,876,590,466,990,080
  5. Step 5: Solve for x
    x = 25,352,196,876,590,466,990,080/103,635,005,672
  6. Step 6: Final answer
    x = 244,629,666,512.77

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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.