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Finding the Third Proportional to 430,963,988.65 and 616,279,237.69

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Solution

The third proportional to 430,963,988.65 and 616,279,237.69 is: 881,280,359.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,963,988.65 : 616,279,237.69 = 616,279,237.69 : x
  2. Step 2: Convert to fraction form
    430,963,988.65/616,279,237.69 = 616,279,237.69/x
  3. Step 3: Cross multiply
    430,963,988.65x = 616,279,237.69 × 616,279,237.69
  4. Step 4: Simplify right side
    430,963,988.65x = 379,800,098,804,686,144
  5. Step 5: Solve for x
    x = 379,800,098,804,686,144/430,963,988.65
  6. Step 6: Final answer
    x = 881,280,359.40

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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.