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Finding the Third Proportional to 345,421,681 and 493,957,069

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Solution

The third proportional to 345,421,681 and 493,957,069 is: 706,364,421.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,421,681 : 493,957,069 = 493,957,069 : x
  2. Step 2: Convert to fraction form
    345,421,681/493,957,069 = 493,957,069/x
  3. Step 3: Cross multiply
    345,421,681x = 493,957,069 × 493,957,069
  4. Step 4: Simplify right side
    345,421,681x = 243,993,586,015,070,752
  5. Step 5: Solve for x
    x = 243,993,586,015,070,752/345,421,681
  6. Step 6: Final answer
    x = 706,364,421.91

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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.