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Finding the Third Proportional to 72,692,100 and 107,896,776

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Solution

The third proportional to 72,692,100 and 107,896,776 is: 160,151,024.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,692,100 : 107,896,776 = 107,896,776 : x
  2. Step 2: Convert to fraction form
    72,692,100/107,896,776 = 107,896,776/x
  3. Step 3: Cross multiply
    72,692,100x = 107,896,776 × 107,896,776
  4. Step 4: Simplify right side
    72,692,100x = 11,641,714,271,194,176
  5. Step 5: Solve for x
    x = 11,641,714,271,194,176/72,692,100
  6. Step 6: Final answer
    x = 160,151,024.27

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.