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Finding the Third Proportional to 161,705,472 and 248,803,840

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Solution

The third proportional to 161,705,472 and 248,803,840 is: 382,815,436.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,705,472 : 248,803,840 = 248,803,840 : x
  2. Step 2: Convert to fraction form
    161,705,472/248,803,840 = 248,803,840/x
  3. Step 3: Cross multiply
    161,705,472x = 248,803,840 × 248,803,840
  4. Step 4: Simplify right side
    161,705,472x = 61,903,350,798,745,600
  5. Step 5: Solve for x
    x = 61,903,350,798,745,600/161,705,472
  6. Step 6: Final answer
    x = 382,815,436.19

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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.