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Finding the Third Proportional to 432,933,506 and 945,223,894

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Solution

The third proportional to 432,933,506 and 945,223,894 is: 2,063,707,699.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,933,506 : 945,223,894 = 945,223,894 : x
  2. Step 2: Convert to fraction form
    432,933,506/945,223,894 = 945,223,894/x
  3. Step 3: Cross multiply
    432,933,506x = 945,223,894 × 945,223,894
  4. Step 4: Simplify right side
    432,933,506x = 893,448,209,788,523,264
  5. Step 5: Solve for x
    x = 893,448,209,788,523,264/432,933,506
  6. Step 6: Final answer
    x = 2,063,707,699.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.