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Finding the Third Proportional to 471,564,312 and 1,014,792,240

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Solution

The third proportional to 471,564,312 and 1,014,792,240 is: 2,183,802,429.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,564,312 : 1,014,792,240 = 1,014,792,240 : x
  2. Step 2: Convert to fraction form
    471,564,312/1,014,792,240 = 1,014,792,240/x
  3. Step 3: Cross multiply
    471,564,312x = 1,014,792,240 × 1,014,792,240
  4. Step 4: Simplify right side
    471,564,312x = 1,029,803,290,364,217,600
  5. Step 5: Solve for x
    x = 1,029,803,290,364,217,600/471,564,312
  6. Step 6: Final answer
    x = 2,183,802,429.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.