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Finding the Third Proportional to 553,628,835 and 778,641,916.50

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Solution

The third proportional to 553,628,835 and 778,641,916.50 is: 1,095,107,761.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,628,835 : 778,641,916.50 = 778,641,916.50 : x
  2. Step 2: Convert to fraction form
    553,628,835/778,641,916.50 = 778,641,916.50/x
  3. Step 3: Cross multiply
    553,628,835x = 778,641,916.50 × 778,641,916.50
  4. Step 4: Simplify right side
    553,628,835x = 606,283,234,130,792,960
  5. Step 5: Solve for x
    x = 606,283,234,130,792,960/553,628,835
  6. Step 6: Final answer
    x = 1,095,107,761.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.