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Finding the Third Proportional to 30,610,729 and 66,602,066

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Solution

The third proportional to 30,610,729 and 66,602,066 is: 144,911,125.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,610,729 : 66,602,066 = 66,602,066 : x
  2. Step 2: Convert to fraction form
    30,610,729/66,602,066 = 66,602,066/x
  3. Step 3: Cross multiply
    30,610,729x = 66,602,066 × 66,602,066
  4. Step 4: Simplify right side
    30,610,729x = 4,435,835,195,468,356
  5. Step 5: Solve for x
    x = 4,435,835,195,468,356/30,610,729
  6. Step 6: Final answer
    x = 144,911,125.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.