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Finding the Third Proportional to 213,328,912,685 and 308,223,439,465

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Solution

The third proportional to 213,328,912,685 and 308,223,439,465 is: 445,329,643,506.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,328,912,685 : 308,223,439,465 = 308,223,439,465 : x
  2. Step 2: Convert to fraction form
    213,328,912,685/308,223,439,465 = 308,223,439,465/x
  3. Step 3: Cross multiply
    213,328,912,685x = 308,223,439,465 × 308,223,439,465
  4. Step 4: Simplify right side
    213,328,912,685x = 95,001,688,635,634,519,900,160
  5. Step 5: Solve for x
    x = 95,001,688,635,634,519,900,160/213,328,912,685
  6. Step 6: Final answer
    x = 445,329,643,506.47

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.