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Finding the Third Proportional to 30,519,111 and 42,688,951.50

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Solution

The third proportional to 30,519,111 and 42,688,951.50 is: 59,711,653.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,519,111 : 42,688,951.50 = 42,688,951.50 : x
  2. Step 2: Convert to fraction form
    30,519,111/42,688,951.50 = 42,688,951.50/x
  3. Step 3: Cross multiply
    30,519,111x = 42,688,951.50 × 42,688,951.50
  4. Step 4: Simplify right side
    30,519,111x = 1,822,346,580,169,352.25
  5. Step 5: Solve for x
    x = 1,822,346,580,169,352.25/30,519,111
  6. Step 6: Final answer
    x = 59,711,653.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.