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Finding the Third Proportional to 213,328,912,557 and 308,223,439,320

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Solution

The third proportional to 213,328,912,557 and 308,223,439,320 is: 445,329,643,354.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,328,912,557 : 308,223,439,320 = 308,223,439,320 : x
  2. Step 2: Convert to fraction form
    213,328,912,557/308,223,439,320 = 308,223,439,320/x
  3. Step 3: Cross multiply
    213,328,912,557x = 308,223,439,320 × 308,223,439,320
  4. Step 4: Simplify right side
    213,328,912,557x = 95,001,688,546,249,724,133,376
  5. Step 5: Solve for x
    x = 95,001,688,546,249,724,133,376/213,328,912,557
  6. Step 6: Final answer
    x = 445,329,643,354.68

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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.