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Finding the Third Proportional to 153,918,257 and 238,530,920

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Solution

The third proportional to 153,918,257 and 238,530,920 is: 369,657,251.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,918,257 : 238,530,920 = 238,530,920 : x
  2. Step 2: Convert to fraction form
    153,918,257/238,530,920 = 238,530,920/x
  3. Step 3: Cross multiply
    153,918,257x = 238,530,920 × 238,530,920
  4. Step 4: Simplify right side
    153,918,257x = 56,896,999,796,046,400
  5. Step 5: Solve for x
    x = 56,896,999,796,046,400/153,918,257
  6. Step 6: Final answer
    x = 369,657,251.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.