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Finding the Third Proportional to 153,918,254.25 and 238,530,915.63

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Solution

The third proportional to 153,918,254.25 and 238,530,915.63 is: 369,657,244.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,918,254.25 : 238,530,915.63 = 238,530,915.63 : x
  2. Step 2: Convert to fraction form
    153,918,254.25/238,530,915.63 = 238,530,915.63/x
  3. Step 3: Cross multiply
    153,918,254.25x = 238,530,915.63 × 238,530,915.63
  4. Step 4: Simplify right side
    153,918,254.25x = 56,896,997,708,900,872
  5. Step 5: Solve for x
    x = 56,896,997,708,900,872/153,918,254.25
  6. Step 6: Final answer
    x = 369,657,244.27

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