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Finding the Third Proportional to 345,421,648 and 493,957,020

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Solution

The third proportional to 345,421,648 and 493,957,020 is: 706,364,349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,421,648 : 493,957,020 = 493,957,020 : x
  2. Step 2: Convert to fraction form
    345,421,648/493,957,020 = 493,957,020/x
  3. Step 3: Cross multiply
    345,421,648x = 493,957,020 × 493,957,020
  4. Step 4: Simplify right side
    345,421,648x = 243,993,537,607,280,384
  5. Step 5: Solve for x
    x = 243,993,537,607,280,384/345,421,648
  6. Step 6: Final answer
    x = 706,364,349.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.