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Finding the Third Proportional to 288,506,700.75 and 680,378,970.75

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Solution

The third proportional to 288,506,700.75 and 680,378,970.75 is: 1,604,522,677.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,506,700.75 : 680,378,970.75 = 680,378,970.75 : x
  2. Step 2: Convert to fraction form
    288,506,700.75/680,378,970.75 = 680,378,970.75/x
  3. Step 3: Cross multiply
    288,506,700.75x = 680,378,970.75 × 680,378,970.75
  4. Step 4: Simplify right side
    288,506,700.75x = 462,915,543,838,829,376
  5. Step 5: Solve for x
    x = 462,915,543,838,829,376/288,506,700.75
  6. Step 6: Final answer
    x = 1,604,522,677.07

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.