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Finding the Third Proportional to 308,620,461 and 470,165,943

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Solution

The third proportional to 308,620,461 and 470,165,943 is: 716,271,413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,620,461 : 470,165,943 = 470,165,943 : x
  2. Step 2: Convert to fraction form
    308,620,461/470,165,943 = 470,165,943/x
  3. Step 3: Cross multiply
    308,620,461x = 470,165,943 × 470,165,943
  4. Step 4: Simplify right side
    308,620,461x = 221,056,013,957,079,264
  5. Step 5: Solve for x
    x = 221,056,013,957,079,264/308,620,461
  6. Step 6: Final answer
    x = 716,271,413.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.