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Finding the Third Proportional to 153,213,780 and 243,911,532

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Solution

The third proportional to 153,213,780 and 243,911,532 is: 388,299,508.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,213,780 : 243,911,532 = 243,911,532 : x
  2. Step 2: Convert to fraction form
    153,213,780/243,911,532 = 243,911,532/x
  3. Step 3: Cross multiply
    153,213,780x = 243,911,532 × 243,911,532
  4. Step 4: Simplify right side
    153,213,780x = 59,492,835,442,587,024
  5. Step 5: Solve for x
    x = 59,492,835,442,587,024/153,213,780
  6. Step 6: Final answer
    x = 388,299,508.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.