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Finding the Third Proportional to 72,717,729 and 161,577,773

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Solution

The third proportional to 72,717,729 and 161,577,773 is: 359,023,543.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,717,729 : 161,577,773 = 161,577,773 : x
  2. Step 2: Convert to fraction form
    72,717,729/161,577,773 = 161,577,773/x
  3. Step 3: Cross multiply
    72,717,729x = 161,577,773 × 161,577,773
  4. Step 4: Simplify right side
    72,717,729x = 26,107,376,727,639,528
  5. Step 5: Solve for x
    x = 26,107,376,727,639,528/72,717,729
  6. Step 6: Final answer
    x = 359,023,543.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.